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f(x) = {{:((3)/(x^(2)) Sin 2x^(2) " , i...

`f(x) = {{:((3)/(x^(2)) Sin 2x^(2) " , if " x lt 0),((x^(2) + 2x + c)/(1-3x^(2) ) " , if " x ge 0 " , " x ne (1)/(sqrt(3))),(0 " , if " x = (1)/(sqrt(3))):}` then in order that 'f' be a continuous at x =0 , the value of 'c' is

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
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