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

If `f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -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 in R, n in I`

B

`a = 4n + 2, b in R, n in I`

C

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

D

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

Text Solution

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The correct Answer is:
A
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