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Consider f(x)=x[x]^2log(1+x)2 for -1ltxl...

Consider `f(x)=x[x]^2log_(1+x)2` for `-1ltxlt0` ; `ln(e^(x^2)+(2sqrt({x})))/tansqrt(x)` for `0ltxlt1` where [] and {} are the greatest integer function &fractional part function respectively, then

A

f(0) =ln `2 rArr` f is continuous at x=0

B

f(0) = 2 `rArr` is continuous at x=0

C

`f(0) = e^(2) rArr f` is continuous at x=0

D

f has an irremovable discontinuity at x=0

Text Solution

Verified by Experts

The correct Answer is:
D
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