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If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/...

If `f(x)=(tan(pi/4-x))/(cot2x)` for `x!=pi/4,` find the value which can be assigned to `f(x)` at `x=pi/4` so that the function `f(x)` becomes continuous every where in `[0,pi/2]dot`

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  14. Determine if f defined byf(x)={x^2sin(1/x) , ifx!=0, 0 ifx=0 is a con...

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  16. Find all point of discontinuity of the function f(t)=1/(t^2+t-2), wher...

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  17. Define continuity of a function at a point.

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  18. What happens to a function f(x) at x=a , if (lim)(x->a)f(x)=f(a)

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  19. Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

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