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Let f(x) = {{:(int(0)^(x) {5+|1-t|dt}, i...

Let `f(x) = {{:(int_(0)^(x) {5+|1-t|dt}, if x gt 2),(5x+1, if x le 2):}`, then

A

f(x) is not continuous at `x = 2`

B

f is differentiable everywhere

C

right hand limit at x = 2 does not exist

D

f is continuous but riot differentiable at x=2

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
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  2. lim(x rarr3)(|x-3|)/(x-3)=

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  17. If the function: f(x) = {{:((x^(2)-(A+ 2)x+A)/(x-2), "for", x ne 2),...

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  18. If f(x) =(cos^(2) pix)/(e^(2x) - 2ex), x ne 1/2, the value of f(1/2), ...

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  19. The value of b for which the function f(x) = {{:(5x-4, 0 lt x le 1)...

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  20. if f(x) = {{:(x + lambda, -1 lt x lt 3),(4, x =3),(3x-5, x gt 3):}, is...

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