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Given the function f(x)=1/(1-x), the num...

Given the function `f(x)=1/(1-x)`, the numbers of discontinuities of `f^(3n) = f o f … of` `("3n times")` is

A

1

B

2

C

3

D

infinite

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Exercise (Level 2 Single Correct Answer)
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  2. The value of lim(x to 0) ("sinx"/x)^("sin x"/"x-sinx") is

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  3. The value of lim(x->0)((sinx-tanx)^2-(1-cos2x)^4+x^5)/(7(tan^(- 1)x)^7...

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  4. Let f(x)=x-1 and g(x)=1/x. Then the set of points where gofog is conti...

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  5. Let f(x)=lim( n to oo) ([x^2]+[(2x)^2]+... + [(nx)^2])/n^3 then the se...

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  6. If : f(x){:( =1", ... x is rational"),(=0", ...x is irr...

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  7. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

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  8. Let f:R to R be any function. Defining g: R to R by g(x)=|f(x)|" for "...

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  9. Let f be a function defined on R by f(x)=lim(n to oo) (log (3+x)-x^(2n...

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  10. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xtooo)f(x) is equal to

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  11. Let f(x) be defined for all > x0 and be continuous. Let f(x) satisfies...

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  12. Given the function f(x)=1/(1-x), the numbers of discontinuities of f^...

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  13. If f(x)=(1+sinx-cosx)/(1-sinx-cosx), x ne 0 . The value of f(0) so tha...

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  14. If f(x)={(ax+1",", x le (pi)/(2)),(sinx+b",", x gt (pi)/(2)):} is cont...

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  15. If f(x)={((x^(3)+x^(2)-16x+20)/((x-2)^(2))",",x ne 2),(k",", x =2):} ...

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  16. f(x) ={{:((2^(x+2)-16)/(4^(x)-16), if x ne 2 ),(k, if x = 2):} ,x = 2.

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  17. If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x !=...

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  18. If a and b are positive integers then

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  19. Let f(x)=(tan[e^2]x^2-tan[-e^2]x^2)/(sin^2x), x!=0 then the value of f...

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  20. The value of f(0) so that the function f(x)= (cos a x - cos bx)/x^2 ,...

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