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Given f(0)=0 and f(x)=(1)/(1-e^(-(1)/(...

Given `f(0)=0` and `f(x)=(1)/(1-e^(-(1)/(x)))` for `x ne 0` . Then the function f(x) is -

A

both continuous and differentiable at x=0

B

continuous but not differentiable at x=0

C

continuous at x=0

D

not continuous at x=0

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
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  8. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

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  9. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

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  10. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

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  11. State which of the following is correct : If f(x) is a continuous f...

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  12. The integrating factor of the linear differential equation (1-x^(2))^...

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  13. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

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  14. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

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  15. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

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  16. The order of differential equations of all parabolas having directrix ...

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  17. The general solution of equation (dy)/(dx)+y= sinx is -

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  18. Solution of the differential equation (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2...

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  19. The degree of the differential equation [1+((dy)/(dx))^(2)]^((3)/(4))...

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