Determine whether each of the following functions is (a) continuous (b) differentiable. Show a complete solution for each item. 1. f(x) = x² +x - 1 for all values of x 2. f(x) = Vx –1 at x = 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Number 1,2,3,4
3. f(x) = v2 -x at x = 1
S-3 if x s0
2x if x > 0
4. f(x) =
Transcribed Image Text:3. f(x) = v2 -x at x = 1 S-3 if x s0 2x if x > 0 4. f(x) =
Determine whether each of the following functions is (a) continuous (b) differentiable.
Show a complete solution for each item.
1. f(x) = x² +x- 1 for all values of x
2. f(x) = Vx –1 at x = 5
Transcribed Image Text:Determine whether each of the following functions is (a) continuous (b) differentiable. Show a complete solution for each item. 1. f(x) = x² +x- 1 for all values of x 2. f(x) = Vx –1 at x = 5
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