InterviewSolution
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InterviewSolution
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`f:R->R` is defined by `f(x)={(cos3x-cosx)/(x^2), x!=0lambda, x=0` and `f` is continuous at `x=0;` then `lambda=`A. `-2`B. `-4C. `-6`D. `-8` |
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Answer» Correct Answer - B If f is continous x=0 then, `underset(x to 0)lim f(x)=f(8)` `Rightarrow underset(x to 0)lim (cos 3x-cosx)/(x^(2))=lambda` `Rightarrow underset(x to 0)lim (-2sin 2x sinx)/(x^(2))=lambda` `Rightarrow -4 underset(x to 0)lim ((sin 2x)/(2x))((sin x)/(2x))=lambdaRightarrow -4xx1xx1=-4` |
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