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Given f(x) = ([{|x|}]e^(x^2){[x+{x}]})/...

Given `f(x) = ([{|x|}]e^(x^2){[x+{x}]})/((e^(1/x^2)-1)sgn(sinx)` for `x != 0 , 0 for x=0` where (x) is the fractional pat function, [x] is the step up finction and sgnt's) is the signum function then, f(x)

A

is continous at x=0

B

is dicontinous at x=0

C

has a removable discontinuity at x=0

D

has an irremovable discontinuity at x=0

Text Solution

Verified by Experts

The correct Answer is:
A
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