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Find the values of ' a ' so that the fun...

Find the values of `' a '` so that the function `f(x)` defined by `f(x)={(sin^2a x)/(x^2),\ \ \ x!=0\ \ \ 1,\ \ \ \ \ \ \ \ \ x=0` may be continuous at `x=0` .

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  2. If the function f(x) defined by f(x)={(log(1+a x)-log(1-b x))/x ,\ \ \...

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  3. Find the values of ' a ' so that the function f(x) defined by f(x)={(s...

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  4. If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ ...

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  5. Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a ,\ \ \ if\ x=0(sqrt(x))/(sqrt...

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  6. Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/...

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  7. If f(x)=(sqrt(2)cosx-1)/(cotx-1) , x!=pi/4 . Find the value of f(pi/4)...

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  8. Prove that the greatest integer function [x] is continuous at all ...

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  9. Leg f(x+y)=f(x)+f(y)fora l lx , y in R , If f(x) is continue at x=0,...

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  10. Show that the function f(x) = |sinx+cosx| is continuous at x = p...

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  11. Does there exists value of f(0) such that the following function becom...

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  12. A function f(x) is defined as f(x)={(x^2-x-6)/(x-3);\ \ \ if\ x!=3\ \ ...

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  13. A function f(x) is defined as f(x)={(x^2-9)/(x-3);\ \ \ if\ x!=3\ \ \ ...

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  14. If f(x)={(x^2-1)/(x-1);\ for \ x!=1;\ \ \ 2\ for \ x=1 . Find wh...

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  15. If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find wh...

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  16. If f(x)={e^(1//x),\ \ \ if\ x!=0 1,\ \ \ if\ x=0 . Find whether f is c...

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  17. Let f(x)={(1-cosx)/(x^2),\ \ \ w h e n\ x!=0 ; 1,\ \ \ \ w h e n\ x=0 ...

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  18. Show that f(x)={(x-|x|)/2,\ \ \ w h e n\ x!=0 \ \ \ \ \ \ \ \ \ \ \ \ ...

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  19. Show that f(x)={(|x-a|)/(x-a),\ \ \ w h e n\ x!=a \ \ \ \ \ \ \ \ \ \ ...

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  20. Discuss the continuity of f(x)={|x|cos(1/x),\ \ \ x!=0 0,\ \ \ \ x=...

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