1.

Let f: R→R be defined byf(x)=⎧⎪⎪⎪⎨⎪⎪⎪⎩α+sin[x]2if x>0 2if x=0β+[sin x−xx3]if x<0where [y] denotes the integral part of y. If f is continuous at x=0, then β−α=

Answer»

Let f: R→R be defined byf(x)=⎧⎪
⎪
⎪⎨⎪
⎪
⎪⎩α+sin[x]2if x>0 2if x=0β+[sin x−xx3]if x<0where [y] denotes the integral part of y. If f is continuous at x=0, then β−α=


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