Question

x\textsuperscript{2}-5x-36 Let f(x) = \frac{x\textsuperscript{2}-5x-36}{x-9}. Find a) \lim_{x\to9} f(x), b) \lim_{x\to0} f(x), and c) \lim_{x\to-4} f(x). a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \lim_{x\to9} f(x) = \boxed{} (Simplify your answer.) B. The limit does not exist.

          x\textsuperscript{2}-5x-36
Let f(x) = \frac{x\textsuperscript{2}-5x-36}{x-9}. Find a) \lim_{x\to9} f(x), b) \lim_{x\to0} f(x), and c) \lim_{x\to-4} f(x).
a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. \lim_{x\to9} f(x) = \boxed{} (Simplify your answer.)
B. The limit does not exist.

x2-5x-36
Let f(x) = (x2-5x-36)/(x-9). Find a) limx→9 f(x), b) limx→0 f(x), and c) limx→-4 f(x).
a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. limx→9 f(x) = (Simplify your answer.)
B. The limit does not exist.

Added by Elizabeth L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ahmet Yavas

05/25/2022

Step 1

Step 1: To find \( \lim_{x \to 9} f(x) \), we can first try to simplify the function by factoring the numerator. Show more…

Show all steps

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Let ( f(x) = frac{x^2 - 5x - 36}{x - 9} ). Find: a) ( lim_{x o 9} f(x) ) b) ( lim_{x o 0} f(x) ) c) ( lim_{x o -4} f(x) ) a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ( lim_{x o 9} f(x) = ) (Simplify your answer.) B. The limit does not exist.