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Let `f(x)= {(((xsinx+2cos2x)/(2))^((1)/(x^(2))),,,,xne0),(e^(-K//2),,,,x=0):}` if `f(x)` is continous at `x=0` then the value of k isA. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - C `becauseunderset(xto0)limf(x)=e^(underset(xtoo)(lim)((xsinx+2cos2x)/(2)-1)(1)/(x^(2))=e^(-3//2))` and `f(0)=e^(-k//2)` `thereforek=3` |
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