Let [x] denote the greatest integer less than or equal to x. Then the – InterviewSolution

1.	Let [x] denote the greatest integer less than or equal to x. Then the value of α for which the function f(x)=⎧⎪⎨⎪⎩sin[−x2][−x2],x≠0α,x=0 is continuous at x=0 is
Answer» Let $[x]$ denote the greatest integer less than or equal to $x$ . Then the value of $α$ for which the function $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{sin [- x^{2}]}{[- x^{2}]}, & x \neq 0 α, & x = 0 \end{matrix}$ is continuous at $x = 0$ is

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