Chapter 1: Q 6. (page 86)

If $\lim_{x \to - 1^{+}} f (x) = - \infty$ and $\lim_{x \to - 1^{-}} f (x) = - \infty$ , what can you say about $\lim_{x \to - 1} f (x)$ ?

Short Answer

Expert verified

The solution is $\lim_{x \to - 1} f (x) = - \infty$ .

Step by step solution

Step 1. Given information.

It is given that $\lim_{x \to - 1^{+}} f (x) = - \infty$ and $\lim_{x \to - 1^{-}} f (x) = - \infty$ .

Step 2. Determine the value of limx→-1f(x).

Since the right-hand side $\lim_{x \to - 1^{+}} f (x) = - \infty$ and the left-hand side $\lim_{x \to - 1^{-}} f (x) = - \infty$ both have the same value.

Hence, $\lim_{x \to - 1} f (x) = - \infty$ .

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If $\lim_{x \to - 1^{+}} f (x) = - \infty$ and $\lim_{x \to - 1^{-}} f (x) = - \infty$ , what can you say about $\lim_{x \to - 1} f (x)$ ?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of limx→-1f(x).

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Iflimx→-1+f(x)=-∞andlimx→-1-f(x)=-∞, what can you say aboutlimx→-1f(x)?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of limx→-1f(x).

One App. One Place for Learning.

Most popular questions from this chapter

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If $\lim_{x \to - 1^{+}} f (x) = - \infty$ and $\lim_{x \to - 1^{-}} f (x) = - \infty$ , what can you say about $\lim_{x \to - 1} f (x)$ ?