Question

Use the definition of continuity to determine whether f is continuous at a. $\begin{aligned} f(x) = \begin{cases} \frac{x^2 - 100}{x - 10} & \text{if } x \neq 10\\ 4 & \text{if } x = 10 \end{cases} \\ a = 10 \end{aligned}$

          Use the definition of continuity to determine whether f is continuous at a.
$\begin{aligned} f(x) = \begin{cases} \frac{x^2 - 100}{x - 10} & \text{if } x \neq 10\\ 4 & \text{if } x = 10 \end{cases} \\ a = 10 \end{aligned}$

Use the definition of continuity to determine whether f is continuous at a.
f(x) = (x^2 - 100)/(x - 10) if x ≠ 10
4 if x = 10
a = 10

Added by Harry D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Farnood Ensan

09/09/2021

Step 1

Step 1: To determine if f is continuous at a=10, we need to check if the limit of f(x) as x approaches 10 exists and is equal to f(10). Show more…

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Use the definition of continuity to determine whether f is continuous at a. f(x)={((x^(2)-100)/(x-10) if x!=10):} 4 if x=10 a=10 Use the definition of continuity to determine whether f is continuous at a K ifx10 f(x= x-10 ifx=10 a=10