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Value of f(0) so that f(x) = (log(1+bx)-...

Value of f(0) so that f(x) = `(log(1+bx)-log(1-ax))/x` is continuous at x = 0 is

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. If f(x) is continuous in (-oo, 6), where f(x)={: {(1+sin ((pi x)/(2))...

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  2. The value of a and b such that the function f(x) {:{(-2 sin x", ...

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  3. Value of f(0) so that f(x) = (log(1+bx)-log(1-ax))/x is continuous at...

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

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  5. Let f(x)=lim(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)). then

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  6. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=...

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  7. If the function and the derivative of the function f(x) is everywhere ...

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  8. If the function f(x)=(3x^2+a x+a+3)/(x^2+x-2) continuous at x=-2.find...

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  9. Find all possible values of a and b so that f(x) is continuous for all...

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  10. The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...

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  11. Suppose that f(x)=x^3-3x^2 and h(x) =[(f(x))/(x-3), x!=3 then K , ...

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  12. Let yn(x)=x^2+(x^2)/(1+x^2)+(x^2)/(1+x^2)^2+...(x^2)/(1+x^2)^(n-1) and...

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  13. Find the number ofpoints of discontinuity of the function f(x)-[5x]+ {...

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  14. Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...

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  15. Let [x] denote the greatest integer function & f(x) be defined in a ne...

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  16. let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...

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  17. Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...

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  18. Discuss the continuity of 'f' in [0, 2], where f(x) = {{:(|4x - 5|[x],...

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  19. If f(x0=x+{-x}+[x],\ w h e r e\ [x] is the integral part& {x} is th...

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  20. A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...

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