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If `f(x)=sin|x|-e^(|x|)` then at `x=0,f(x)` isA. Continuous but not differentiableB. Neither continuous nor differentiableC. Both continuous and differentiableD. Discontinuous but may be differentiable |
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Answer» Correct Answer - C `RHD=lim_(hrarr0)(sin|0+h|+e^(|0+h|)-(-1))/h` `=lim_(hrarr0) (sinh)/h-((e^(h)-1)/h)=1-1=0` Similarly LHD`=0` |
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