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If the function f(x)=(log(1+ax)-log(1-bx...

If the function `f(x)=(log(1+ax)-log(1-bx))/(x)` is continuous at x=0, then f(0)=

A

a-b

B

a+b

C

loga+ log b

D

loga-logb

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
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  2. The value of f(2) so that f(x)=(2^(x+2)-16)/(4^(x)-16) is continuous a...

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  3. If the function f(x)=(log(1+ax)-log(1-bx))/(x) is continuous at x=0, t...

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  4. The value of f(0) so that f(x)=(log(1+x//a)-log(1-x//b))/(x) is contin...

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  5. Let f(x)=(log(1+x+x^(2))+log(1-x+x^(2))/(sec x-cos x),x ne 0. Then the...

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  6. The value of f(0) so that f(x)=((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//...

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  7. If f(x)=((a^(x)-1)^(3))/(sin (x log a)log (1+x^(2) log a^(2)) is conti...

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  8. If If {{:(,(72^(x)-9^(x)-8^(x)+1)/(sqrt2-sqrt(1+cosx)),x ne 0),(,k log...

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  9. If f : R to R is continuous such that f(x + y) = f(x) + f(y) x i...

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  10. Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) fo...

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  11. Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"...

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  12. f(x) = (x^(3) + x^(2) - 16 x + 20)/((x - 2)^(2)) " if " x ne 2 , = k ...

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  13. If f(x)=(x^(2)-10x+25)/(x^(2)-7x+10)"for "x ne 5 and f is continuous a...

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  14. Let f(x) = (x + x^(2) + ...+ x^(n)-n)/(x -1), x ne 1, the value of f (...

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  15. If the function f(x)=(sin 3x)/(x)" for "x ne 0 and f(0)=k/2 is continu...

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  16. If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"fo...

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  17. If : [ -2 ,2 ] to R is defined by f(x) = {: { ((sqrt(1+cx) -sqr...

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  18. Let f(x)=-2 sin x, if x le (-pi)/(2), f(x)=a sin x+b," if "(-pi)/(2), ...

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  19. If [x] denotes the greatest integer not exceeding x and if the functi...

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  20. The values of p and q for which the function f(x)={{:(,(sin(p+1)x+sinx...

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