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If sum(r = 1)^(k) cos^(-1) beta r = (kpi...

If `sum_(r = 1)^(k) cos^(-1) beta r = (kpi)/(2), "for any k" ge 1 and A = sum_(r = 1)^(k)(beta r)^(r),"then" lim_(x rarr A) ((1 + x^(2))^(1//3)-(1-2x)^(1//4))/(x+x^(2))` is equal to :

A

`(1)/(2)`

B

`(1)/(4)`

C

`(1)/(3)`

D

`(1)/(7)`

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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
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