1.

Le t `f(x) ={{:((sinpix)/(5x)",",xne0),(" "k",",x=0):}` if (x) is continous at `x=0`, then k is equal toA. `(pi)/(5)`B. `(5)/(pi)`C. 1D. 0

Answer» Correct Answer - A
Since , f(x) is continuous at `x=0`,
`therefore lim_(xto0)f(x)=f(0)`
`rArr lim_(xto0)(sinpi x)/(5x)=k`
`rArr 1((pi)/(5))=krArr k=(pi)/(5)`


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