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If N denotes the set of all positive int...

If `N` denotes the set of all positive integers and if `f : N -> N` is defined by `f(n)=` the sum of positive divisors of `n` then `f(2^k*3)`, where k is a positive integer is

A

`2^(k+1) -1`

B

`2(2^(k+1)-1)`

C

`3(2^(k+1)-1)`

D

`4(2^(k+1)-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
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  5. If f(x)={{:(-1, x lt 0),(0, x=0 and g(x)=x(1-x^(2))", then"),(1, x gt ...

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  12. The period of the function sin""((pix)/(2))+cos((pix)/(2)), is

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  13. If x in R, then f(x)=sin^(-1)((2x)/(1+x^(2))) is equal to

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  14. If x in R , then f(x)=cos^(-1)((1-x^(2))/(1+x^(2))) is equal to

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  15. The equivalent definition of the function f(x)=lim(n to oo)(x^(n)-x^(-...

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  16. Find the domain of definitions of the following function: f(x)=log(10)...

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  20. The function f(x)=log(2x-5)(x^(2)-3x-10) is defined for all belonging ...

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