use a calculator estimate the given limit. lim x→7 6/(x - 7)^2 what is the limit? select the correct choice…

use a calculator estimate the given limit. lim x→7 6/(x - 7)^2 what is the limit? select the correct choice below and, if necessary fill in the answer box to complete your choice. a. the limit is ∞ b. the limit does not exist and is not ∞ or -∞.

use a calculator estimate the given limit. lim x→7 6/(x - 7)^2 what is the limit? select the correct choice below and, if necessary fill in the answer box to complete your choice. a. the limit is ∞ b. the limit does not exist and is not ∞ or -∞.

Answer

Explanation:

Step1: Analyze the denominator as x→7

As (x\to7), ((x - 7)^2\to0).

Step2: Analyze the whole - fraction

We have the fraction (\frac{6}{(x - 7)^2}). Since the numerator is a non - zero constant (6) and the denominator ((x - 7)^2) is approaching (0) and ((x - 7)^2>0) for (x\neq7), the value of the fraction (\frac{6}{(x - 7)^2}) will increase without bound.

Answer:

A. The limit is (\infty)