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Evaluate the following limit: (lim)(x...

Evaluate the following limit: `(lim)_(x->0)(e^(s in2x)-e^(sin\ x))/x`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. Evaluate the following : (lim)(x->0)(e^x^2-cosx)/(x^2)

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  3. Evaluate the following limit: (lim)(x->0)(e^(s in2x)-e^(sin\ x))/x

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  4. A circular are of radius 1 subtends an angle of x radians 0 < x < pi/2...

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  5. Find the points of discontinuity of the following function f(x)=1/(2...

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  6. Find the points of discontinuity of the following function f(x)=x^2...

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  7. Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

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  8. Find the points of discontinuity of the function: f(x)=1/(1-e^((x-1)/(...

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  9. f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is cont...

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  10. The function f(x) = {x+asqrt2 sinx, 0<=x<=pi/4 and 2x cotx+b, pi/4<=x...

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  11. Sketch the graph of the following function f(x)=|ln|x||

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  12. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

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  13. Let f(x)={(1+3x)^(1/x),x!=0e^3,x=0dotD i s c u s st h econ t inu i t y...

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  14. Which of the following functions is not continuous AAx in R ? sqrt(2...

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  16. Given f(x)=1/(x-1) . Find the points of discontinuity of the compos...

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  19. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

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  20. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

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