The values of a, b, c for which the function f(x)=\\begin{array}{c}\\\{\sin (a+1) x+\sin x\end\frac{array}{x}, x 0. is continuous at x=0, are

Correct Answer is : a=−2,b∈C−{0},c=0

a=\frac{3}{2}, b=-\frac{3}{2}, c=\frac{1}{2}

a=-\frac{3}{2}, c=\frac{3}{2}, b is arbitrary non-zero real number

a=-\frac{5}{2}, b=-\frac{3}{2}, c=\frac{3}{2}

WBJEE 2022 Math Solved Paper

Question : 10 of 75

Marks: +1, -0

The values of a,b,c for which the function f(x)={

‌

sin(a+1)‌x+sin‌x

x<0

x=0

‌

(x+bx2)1∕2−√x

bx1∕2

x>0.

is continuous at x=0, are

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