Chapter 1: Q. 35 (page 149)

Calculate each limit in Exercises 35-80.
$\lim_{x \to 0} (- 4 x^{- 3})$

Short Answer

Expert verified

The limit of the function $\lim_{x \to 0} (- 4 x^{- 3})$ does not exist.

Step by step solution

Step 1. Given information.

We have:

$\lim_{x \to 0} (- 4 x^{- 3})$

Step 2. Find the limits.

The function is $\lim_{x \to 0} (- 4 x^{- 3})$ .

localid="1648136360461" $If \lim_{x \to a -} f (x) \neq \lim_{x \to a +} f (x) then the limit does not exist$

$\lim_{x \to 0^{+}} (- 4 x^{- 3}) = - \infty \lim_{x \to 0^{-}} (- 4 x^{- 3}) = \infty$

Therefore, the limit does not exist.

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Calculate each limit in Exercises 35-80.
$\lim_{x \to 0} (- 4 x^{- 3})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the limits.

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Calculate each limit in Exercises 35-80.limx→ 0-4x-3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the limits.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Calculate each limit in Exercises 35-80.
$\lim_{x \to 0} (- 4 x^{- 3})$