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If f(x) = {{:(b([x]^(2)+[x])+1",","for",...

If `f(x) = {{:(b([x]^(2)+[x])+1",","for",x ge -1),(sin(pi(x+a))",","for",x lt -1):}` where [x] denotes the integral part of x, then for what values of a, b the function is continuous at x = - 1?

A

`a=2n+3/2, b epsilon R, n epsilonI`

B

`a=4n+2, b epsilon R, n epsilonI`

C

`a=4n+3/2, b epsilon R^(+), n epsilon I`

D

`a=4n+1, b epsilon R^(+), n epsilon I`

Text Solution

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The correct Answer is:
A, C
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