Let f(x)={([x]+√{x}),x≠0λ,x=0. If f(x) is continuous at x=0, then – InterviewSolution

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1.	Let f(x)={([x]+√{x}),x≠0λ,x=0. If f(x) is continuous at x=0, then the value of λ is(where [.] represents the greatest integer function, {.} represents the fractional part function and λ∈R)
Answer» Let $f (x) = {\begin{matrix} ([x] + \sqrt{{x}}), & x \neq 0 λ, & x = 0 \end{matrix}$ . If $f (x)$ is continuous at $x = 0$ , then the value of $λ$ is (where $[.]$ represents the greatest integer function, {.} represents the fractional part function and $λ \in R$ )

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