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If f(x) {:((3^(x+2)-81)/(9^(x)-9^(2)) "...

If f(x) ` {:((3^(x+2)-81)/(9^(x)-9^(2)) ", ... "x != 2 ),(= k. log 3 " , ... " x = 2 ):}` is continuous at x = 2 , then : k =

A

`1/2`

B

log 9

C

`log_(9)e`

D

2

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The correct Answer is:
a,b,c,d
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. The function (x^(3)-8)/(x^(2)-x-20) is continuous over the domain :

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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. The value of lim(x to e) (log x^(2)-2)/(sqrt(x)-sqrt(e)) is

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

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  5. If f(x) {: (=(x^(2)-2x-3)/(x-3)" , for " 0 le x le 4 ),(= (x^(2)-1)/(x...

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  6. If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is co...

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  7. If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : ...

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  8. If f(0) = 2 , and f(x) = (1-cos kx)/(x.sin x) , x != 0 , is continuo...

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  9. If f(x) {:(=(x^(n)-2^(n))/(x-2)", if " x!=2 ),(= 1024 ", ...

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  10. If f(x) {:((3^(x+2)-81)/(9^(x)-9^(2)) ", ... "x != 2 ),(= k....

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  11. If f(x)= {:(2x^(2)-3", ... if " x lt2 ),(5ax ", ... i...

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

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  13. If f(x) {:(=(sin4x)/(5x)+a", if " x gt 0 ),( = 6x+4 -b...

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  14. If f(x) =1/x for all x != 0 then : lim (x rarr 0 ) f((1-cos 5x)/x)=

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  15. If f(x) {:(=(log (1-2x)-log(1-3x))/x", " x != 0 ),(=a", ...

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

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

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  18. If f(t) = 1/(t^(2)-t-6) and t = 1/(x-2) then the values of x which ma...

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  19. If f(x) = (1+sin x - cos x)/(1- sin x - cos x ) , x != 0 is continuo...

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  20. If f(x) {:(=ax^(2)+b", if " 0 le x lt 1 ),(=x+3 ", if " 1 lt x...

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