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Let f(x)={f(x={(x^3-3x+2, xlt2),(x^3-6x^...

Let `f(x)={`f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):}`
Then

A

`lim_(xrarr2)f(x)` does not exist

B

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

C

`f is continuous but not differentiable at `x=2`

D

`f is continuous and differentiable at `x=2`

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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