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The function f(x)={(e^(1/x)-1)/(e^(1/x)+...

The function `f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0` at `x=0`

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The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continuous at x=0 (b)is not continuous at x=0 (c)is not continuous at x=0, but can be made continuous at x=0 (d) none of these

Find the points of discontinuity, if any, of the following function: f(x)={(e^x-1)/((log)_e(1+2x))\ \ \ ,\ \ \ if\ x!=0\ \ \ \ \ 7\ \ \ ,\ \ \ if\ x=0

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .

f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0

Show that the function f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \ \ \ \x=0 is differentiable at x=0 , if m >1

Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 , 0\ \ x=0 is differentiable at x=0 , if (m>1)

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

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  2. If f(x)={(log(1+a x)-log(1-b x))/x\ \ \ ,\ \ \ x!=0,\ \ \ \ \ \ \k\ \ ...

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  3. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 ...

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  4. Let f(x)={(x-4)/(|x-4|)+a ,x<4 \ \ \ \ \a+b , x=4 \ \ \ \ \ \ ,(x-4)/...

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  5. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

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  6. Let f(x)=|x|+|x-1|, then (a)f(x) is continuous at x=0, as well at ...

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  7. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|)\ \ \ \ ,\ \ \ x!=1,\ 1 6\ \ \ \ ...

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  8. If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sq...

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  9. If f(x)={m x+1\ \ \ ,\ \ \ xlt=pi/2,\ \ \ \ \ \sinx+n\ \ \ ,\ \ \ x >p...

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  10. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

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  11. The value of f(0), so that the function f(x)=((27-2x)^(1/3)-3)/(9-3(2...

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  12. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

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  13. f(x)={(sqrt(1+p x)-sqrt(1-p x))/x ,-1lt=x<0(2x+1)/(x-2),0geqxgeq1 is ...

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  14. The function f(x)={x^2a\ \ \ \ \ ,\ \ \ \ \ 0lt=x<1,\ \ \ \ \a ,\ \ \ ...

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  15. If f(x)=(1-sinx)/((pi-2x)^2),w h e nx!=pi/2a n df(pi/2)=lambda, the f(...

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  16. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

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  17. The function f(x)=tanx is discontinuous on the set

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  18. The function f(x)={(sin3x)/x ,x!=0k/2,x=0 is continuous of x=0,t h e ...

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  19. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at ea...

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  20. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

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