Let f(x)=⎧⎨⎩x2−[x]2,x<2a,x=2x2−[x]2+3,x>2. If f(x) is contin – InterviewSolution

1.	Let f(x)=⎧⎨⎩x2−[x]2,x<2a,x=2x2−[x]2+3,x>2. If f(x) is continuous at x=2, then the value of a is(where [.] represents the greatest integer function and a∈R)
Answer» Let $f (x) = ⎧ ⎨ ⎩ \begin{matrix} x^{2} - [x]^{2}, & x < 2 a, & x = 2 x^{2} - [x]^{2} + 3, & x > 2 \end{matrix}$ . If $f (x)$ is continuous at $x = 2$ , then the value of $a$ is (where $[.]$ represents the greatest integer function and $a \in R$ )

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