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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 |
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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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