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If the function f(x)={(cosx)^(1/x),x!=0k...

If the function `f(x)={(cosx)^(1/x),x!=0k ,x=0` is continuous at `x=0` , then the value of `k` is (a)`0` (b) `1` (c) `-1` (d) None of these

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 \ \ \ \ \ \ \ 0,x=0 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

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  20. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be ass...

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