Question

Evaluate the following limit with $f(x) = 2x^2 + 6$. Give an exact answer if the limit is a number. Otherwise, enter $-\infty$ or $\infty$ if the limit is infinite, or enter DNE if the limit does not exist in another way.\\ $\lim_{h \to 0} \frac{f(-1 + h) - f(-1)}{h} = $

          Evaluate the following limit with $f(x) = 2x^2 + 6$. Give an exact answer if the limit is a number. Otherwise, enter $-\infty$ or $\infty$ if the limit is infinite, or enter DNE if the limit does not exist in another way.\\
$\lim_{h \to 0} \frac{f(-1 + h) - f(-1)}{h} = $

Evaluate the following limit with f(x) = 2x^2 + 6. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way.

limh → 0(f(-1 + h) - f(-1))/(h) =

Added by Ramon T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Rebecca Davis

09/10/2022

Step 1

lim h→0 [f(-1+h) - f(-1)] / h = lim h→0 [(2(-1+h)² + 6) - (2(-1)² + 6)] / h = lim h→0 [(2(-1+h)² + 6) - (2 + 6)] / h = lim h→0 [(2(-1+h)² + 6) - 8] / h = lim h→0 [2(-1+h)² - 2] / h Show more…

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Evaluate the following limit with f(x) = 2x² + 6. Give an exact answer if the limit is a number. Otherwise, enter -∞ or ∞ if the limit is infinite, or enter DNE if the limit does not exist in another way. lim h→0 [f(-1+h) - f(-1)] / h Answers Attempt 3 of 3 Answer: -8 Score: 0/1