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Value of f(0) so that f(x) = (a^(x)-1)/...

Value of f(0) so that f(x) = ` (a^(x)-1)/(1-b^(x))` is continuous at x = 0 is

A

`log_(b)a`

B

`log_(a)b`

C

`-log_(b)a`

D

`-log_(a)b`

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The correct Answer is:
c
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. Value of f(0) so that f(x) = [ ((1+x)^(5))/((1+2x))]^(1//x) is conti...

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

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  3. Value of f(0) so that f(x) = (a^(x)-1)/(1-b^(x)) is continuous at x ...

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  4. If f(x) = (a^(mx)-1)/(sinmx) is continuous at x = 0 , then m is

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  5. If f(x) = ((e^(mx)-1)sin mx)/(4x^(2)), x !=0 and f(0) = 9 ,is contin...

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  6. If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is con...

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  7. Value of f(2) so that f(x) = (3^(x+2)-81)/(9^(x)-9^(2)) is continuous ...

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  8. f(x) {:(=(x cosx+3tanx)/(x^(2)+sinx), " if "x!=0),(=4," if " x=0):}} ...

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  9. f(x)= {:(tan(x^(2)-x)/x," if "x !=0),(=2 ," if " x=0):} at x=0, is

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  10. f(x) {:((e^(5x)-e^(3x))/(sin2x)", if "x!=0),(=1", if "x=0):}} ...

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  11. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

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  12. f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x ne (pi)/(2)), (log 5"," , x =(p...

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  13. If f(x) = (sin [ 4(x-3)])/(x^(2)-9) , x != 3, is continuous at x = 3 ...

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  14. f(x) = {:((sqrt(x+3)-2)/(x^(3)-1)", if " x!=1),(=1/12", if " ...

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  15. If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(...

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  16. If f(x) = (x^(2)-4x+3)/(3x^(2)-10x+3), x!= 3 is continuous at x = 3 ...

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  17. Function f(x) = sqrt(9-x^(2)) is continuous in

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  18. Function f(x) = (x-2)/(x^(2)-5x+6) is discontinuous at x = …..

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  19. Function f(x) = 1/(2x^(2)+x+1) is

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  20. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

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