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If sum(r=1)^kcos^(- 1)betar=(kpi)/2 for ...

If `sum_(r=1)^kcos^(- 1)beta_r=(kpi)/2` for any `k >= 1 and A = sum_(r=1)^k(beta_r)^r` then `lim_(x->A)((1+x)^(1/3)-(1-2x)^(1/4))/(x+x^2)` is equal to

A

`1/2`

B

`1/4`

C

`1/3`

D

`1/7`

Text Solution

Verified by Experts

The correct Answer is:
A
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