1. Given the function ,2 10x + 107 x > 10 f(æ) = {* - f(x) 10x + 7 x < 10' Answer the following: (a) Find f(10). (b) Evaluate lim f(x). x→10- (c) Evaluate lim f(x). x→10+ (d) Does lim f(x) exist? If it exists, what is the x→10 value? (e) Is the function f(x) continuous at 10.Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Given the function
2
10x + 107
x > 10
f(x) = {"
-
10х +7
x < 10'
Answer the following:
(a) Find f(10).
(b) Evaluate lim f(x).
x→10¬
(c) Evaluate lim f(x).
x→10+
(d) Does lim f(x) exist? If it exists, what is the
x→10
value?
(e) Is the function f(x) continuous at
x =
10.Justify your answer.
Transcribed Image Text:1. Given the function 2 10x + 107 x > 10 f(x) = {" - 10х +7 x < 10' Answer the following: (a) Find f(10). (b) Evaluate lim f(x). x→10¬ (c) Evaluate lim f(x). x→10+ (d) Does lim f(x) exist? If it exists, what is the x→10 value? (e) Is the function f(x) continuous at x = 10.Justify your answer.
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