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If f(x) {:(=(1+kx)^(1//x)", if "x!= ...

If `f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", if " x = 0 ):}` is continuous at x = 0 , then k = …..

A

3

B

4

C

5

D

`-4`

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The correct Answer is:
b
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. Function f(x) = 1/(2x^(2)+x+1) is

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

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  3. If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", ...

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  4. If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", ...

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  5. If f(x) (10^(x)+7^(x)-14^(x)-5^(x))/(1-cos x), x != 0 is continuous ...

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  6. If f(x) = {:(a^(2)sin^(2)x+e^(2) cos^(2)x", if " x le 0 ),(=e^(ax+b...

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  7. Value of a so that f(x) = (sin^(2)ax)/(x^(2)), x != 0 and f(0) = 1 ...

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  8. Value of f(0) so that f(x) = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x !...

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  9. At x = 0 , f(x) {:(=x-2", if " x lt 0 ),(= 1//2", if " x = 0...

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  10. If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", ...

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  11. Function f(x)={{:(2x-1", if "x le 1 ),(x^(2)", if "1 ...

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  12. If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 )...

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  13. If f(x) {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1...

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  14. If f(x) {:(=x+1", if " x le 1 ),(= 3 + ax^(2)", if "x gt 1 ...

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  15. If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...

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  16. If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if...

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  17. If f(x) {:(=3x-4", if " 0 le x le 2 ),(= 2x + k ", if "2lt x ...

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  18. Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"fo...

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  19. Given f(x) {:(=x^(2)+a", if "x le 0 ),(= 2 sqrt(...

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  20. If f(x) {:( =(sin 4x)/(5x)+a", if " x gt 0 ),(=x + 4 - b ", ...

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