Let f(x) = lim f(x) = = x 6+ x f(6) = 3 x-9 Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefined. lim f(x) = x-6- if x < 6 if x > 6 Since the above three quantities are not all defined X at x = 6. we know that f is continuous + List ALL numbers at which f is discontinuous. Be sure to check the functions defined to the left and right of 6 for discontinuities.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Let f(x)
=
lim f(x) =
x→6-
lim_ƒ(x) =
x→6+
Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefined.
ƒ(6) =
X
3
x-9
X at x =
if x < 6
if x > 6
Since the above three quantities are not all defined
= 6.
we know that f is continuous
"
+
List ALL numbers at which f is discontinuous. Be sure to check the functions defined to the left and right of 6
for discontinuities.
Transcribed Image Text:Let f(x) = lim f(x) = x→6- lim_ƒ(x) = x→6+ Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefined. ƒ(6) = X 3 x-9 X at x = if x < 6 if x > 6 Since the above three quantities are not all defined = 6. we know that f is continuous " + List ALL numbers at which f is discontinuous. Be sure to check the functions defined to the left and right of 6 for discontinuities.
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