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Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability

The least integral value of for which the function f(x)= array cc x^ ( e^ 1 / x -e^ -1 / x e^ 1 / x +e^ -1 / x ), & x 0 0 & x=0 array . is differentiable at x=0 is:

Correct answer

2

Step-by-step solution

aligned L.H.D. & = _ h 0 (-h)^ -1 ( e^ -2 / h -1 e^ -2 / h +1 ) R.H.D. & = _ h 0 (h)^ -1 ( 1-e^ -2 / h 1+e^ 2 / h ) L.H.D. & = R.H.D. -1 & >0 & >1 aligned

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