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f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+...

f(x) ` {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= 2 log 2", if " x = 0 " ) :}` , at x = 0 the function f is

A

(a) f(x) is continuous at `x = 0`

B

(b) f(x) has removable discontinuity at `x = 0`

C

(c) f(x) has irremovable discontinuity at `x = 0`

D

(d) none of these

Text Solution

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The correct Answer is:
B
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