Chapter 10: Q. 14 (page 777)

Suppose f and g are functions such that $\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x \to 3} - 2 f (x)$

Short Answer

Expert verified

The value of $\lim_{x \to 3} - 2 f (x) = - 10$

Step by step solution

Step 1. Given information

The given limits $\lim_{x \to 3} - 2 f (x)$ and the given values are,

$\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$

Step 2. Calculating the values of the given limits

The value can be calculated as below,

$\lim_{x \to 3} - 2 f (x) = - 2 \lim_{x \to 3} f (x) [c o n s \tan t m u l t i p l e r u l e] = - 2 (5) = - 10$

Hence, the value $\lim_{x \to 3} - 2 f (x) = - 10$

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Suppose f and g are functions such that $\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x \to 3} - 2 f (x)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the values of the given limits

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Suppose f and g are functions such that limx→3f(x)=5,limx→4f(x)=2andlimx→3g(x)=4Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.limx→3-2f(x)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the values of the given limits

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Pure Maths

Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Suppose f and g are functions such that $\lim_{x \to 3} f (x) = 5, \lim_{x \to 4} f (x) = 2$ and $\lim_{x \to 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x \to 3} - 2 f (x)$