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Q. For every integer n, let an and bn be...

Q. For every integer n, let an and bn be real numbers. Let function `f:R->R` be given by a `f(x)={a_n+sin pix, for x in [2n,2n+1]`, `bb_n+cos pix, for x in (2n+1,2n)` for all integers n.

A

`a_(n-1) - b_(n-1) =0`

B

`a_(n)-b_(n)=1`

C

`a_(n)-b_(n+1)=1`

D

`a_(n-1) - b_(n) =-1`

Text Solution

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The correct Answer is:
B, D
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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)
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  8. Let f: R to R be a positive increasing function with lim(x to infty) (...

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  12. If f: R to R is a function defined by f(x) = [x] cos((2...

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  14. Let f: R to R be a function such that f(x+y) = f(x) + f(y) AA x, y in...

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  15. If f(x) = {{:(-x-pi/2" , " x le - pi/2),(-cos x" , " -pi/2 lt ...

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  16. Let f: (0,1) to R be defined by f(x)=(b-x)/(1-bx) where b is a constan...

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