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Chapter 14: Q. 55 (page 876)

Use a graphing utility to find the indicated limit rounded to two decimal places.

limx→2x3-2x2+4x-8x2+x-6

Short Answer

Expert verified

The limit rounded to two decimal places is1.6

Step by step solution

01

Step 1. Given information

The given limit is

limx→2x3-2x2+4x-8x2+x-6

Using a graphing utility we will find the table of values to find the value of the given limit.

02

Step 2. Table of values

The table of values for the given limit is:

Thereforelimx→2x3-2x2+4x-8x2+x-6=1.6

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Most popular questions from this chapter

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

limx→0f(x),f(x)=x13xif,x<0if,x=0if,x>0

True or False The limit of a rational function at5 equals the value of the rational function at5

True or False The exponential function f(x)=ex is increasing on the interval (-∞,∞). (p. 280)

In Problems 7– 42, find each limit algebraically.

limx→01-2x{"x":[[93,93,93,93,93,93,93,93,93,93,93,93,93,93,93],[115,115,115,115,115,115,115,115,115,115,115],[112],[112,112],[132,132,133,134,135,135,135,135,135,135,135,135,135,135,135,135,135,135,135,136,136,136,136,138,138,139,139,139,139,139,139,141,142,143,145,146,148,150,151,152,153,155,155,155,155,155,155,155,155,155,155,155,155,154,154,154,154,154,154,154,154,154,155,156,157,158,159,159,160,162,163,165,167,168,170,171,171,172,173,174,175,175,175,175,175,175,175,176,176],[90,91,91,95,98,100,103,104,106,107,107,107,107,107,106,105,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,105,106,106,107,108,110,111,113,115,115,117,118,119,118,116,113,111,109,106,105,103,103,102,101,101,101,101,102,104,105,107,109,111,111,113,114,115,115,116,118,119,119,120,121,122,123,123],[133,134,138,142,144,146,148,150,151,151,152,153,154,155,155,155,156,158,159,159,159,158,157,156,155,154,153,151,148,147,145,143,142,141,140,141,142,143,143,144,145,146,149,151,153,155,157,159,160,160,161,163,163,163,163,163,162,161,160,159,158,157,156,155,155,154,153],[182,182,182,182,182,182,182,182,182,182,182,182,182,182,182,182,182,182,182],[183,183,181,180,180,180,180,180,180,180,180,180,180,180,180,181,183,184,186,189,192,196,199,201,203,205,206,207,209,210,210,210,210,210,209,208,206,204,203,201,199,198,196,195,193,191,189,188,187,186,185,183,183],[212,213,215,219,223,225,228,230,231,233,234,234,235,235,235,235,234,231,231,229,228,227,227,227,227,227,227,227,227,227,227,227,227,227,229,231,237,250,261,273,287,295,302,313,320,327,337,340,343,347,348,351,353,355,356,357],[258,258,258,259,259,259,259,259,259,259,259,259,259,259,260],[298,304,310,316,319,321,325,327,328,329,330,331,331,331,332],[336,339,343,345,347,351,355,362,367,368,371,372,372,372,372,371,368,366,364,360,358,355,354,352,351,351,350,349,348,348,348,349,350,351,354,356,359,362,365,367,370,373,375,377,379,379,380,382,383],[383,384,386,388,390,391,393,395,395,396,396,396,396,396,396,396,396,396,396,396,396,396,396,396,395,394,393,392,391,391,391,391,391,391,392,393,394,395,397,399,400,402,403,404,405,406,405,404,403,403,402,401,399,397,396,395,395,394,393,392,392,392,392,392,392,393,395,396,397,398,399,402,403,403,404,405,406,407,407,408,409,410,411,411,412,413,414,415,415,416,417],[340,342,344,347,352,358,360,364,367,370,371,373,375,375,376,377,378,379,379,380,381,382,383,384,385,386,387,388,389,389,391,392,394,395,398,399,401,403,404,407,407,409,411,411,412,413,414]],"y":[[57.399993896484375,58.399993896484375,63.399993896484375,66.39999389648438,69.39999389648438,73.39999389648438,77.39999389648438,81.39999389648438,84.39999389648438,87.39999389648438,90.39999389648438,92.39999389648438,94.39999389648438,96.39999389648438,97.39999389648438],[81.39999389648438,83.39999389648438,85.39999389648438,90.39999389648438,93.39999389648438,97.39999389648438,99.39999389648438,101.39999389648438,104.39999389648438,105.39999389648438,106.39999389648438],[59.399993896484375],[59.399993896484375,59.399993896484375],[80.39999389648438,82.39999389648438,87.39999389648438,92.39999389648438,100.39999389648438,105.39999389648438,107.39999389648438,110.39999389648438,113.39999389648438,115.39999389648438,117.39999389648438,117.39999389648438,118.39999389648438,117.39999389648438,117.39999389648438,116.39999389648438,115.39999389648438,111.39999389648438,108.39999389648438,105.39999389648438,102.39999389648438,101.39999389648438,99.39999389648438,95.39999389648438,93.39999389648438,91.39999389648438,89.39999389648438,88.39999389648438,86.39999389648438,85.39999389648438,85.39999389648438,84.39999389648438,84.39999389648438,84.39999389648438,84.39999389648438,85.39999389648438,87.39999389648438,88.39999389648438,89.39999389648438,92.39999389648438,93.39999389648438,96.39999389648438,101.39999389648438,103.39999389648438,105.39999389648438,108.39999389648438,109.39999389648438,110.39999389648438,111.39999389648438,112.39999389648438,111.39999389648438,110.39999389648438,109.39999389648438,105.39999389648438,100.39999389648438,96.39999389648438,93.39999389648438,90.39999389648438,89.39999389648438,87.39999389648438,86.39999389648438,85.39999389648438,85.39999389648438,84.39999389648438,83.39999389648438,83.39999389648438,83.39999389648438,83.39999389648438,83.39999389648438,83.39999389648438,83.39999389648438,84.39999389648438,84.39999389648438,85.39999389648438,86.39999389648438,87.39999389648438,89.39999389648438,91.39999389648438,92.39999389648438,95.39999389648438,97.39999389648438,100.39999389648438,103.39999389648438,105.39999389648438,105.39999389648438,108.39999389648438,109.39999389648438,109.39999389648438,110.39999389648438],[136.39999389648438,136.39999389648438,136.39999389648438,138.39999389648438,140.39999389648438,143.39999389648438,146.39999389648438,149.39999389648438,150.39999389648438,153.39999389648438,156.39999389648438,159.39999389648438,161.39999389648438,162.39999389648438,164.39999389648438,166.39999389648438,167.39999389648438,168.39999389648438,16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In Problems 7– 42, find each limit algebraically

limx→-3x
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