Chapter 1: Q. 39 (page 88)

Find the limit of the expression using table
$\lim_{x - > 2^{-}} (x^{2} + x + 1)$

Short Answer

Expert verified

The limit of the expression is 7.

Step by step solution

Step 1. Given expression

The given expression is $\lim_{x - > 2^{-}} (x^{2} + x + 1)$ $\lim_{x \to 2} \sqrt{x^{2} + x + 1)}$

Step 2. Calculation using tables

$To see what happens to x ² + x + 1 as x - > 2^{-} we choose a sequence of values approaching x = 2 from the left and record the corresponding values in the table as shown below . \begin{matrix} x & 1.9 & 1.99 & 1.999 & 2 \\ x ² + x + 1 & 6.51 & 6.9501 & 6.995 & . \end{matrix} Hence, \lim_{x - > 2^{-}} (x^{2} + x + 1) Therefore, the values of + x + 1 a p p r o a c h 7$

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Find the limit of the expression using table
$\lim_{x - > 2^{-}} (x^{2} + x + 1)$

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Calculation using tables

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Find the limit of the expression using tablelimx->2-(x2+x+1)

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Calculation using tables

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Find the limit of the expression using table
$\lim_{x - > 2^{-}} (x^{2} + x + 1)$