If Σkr=1cos−1βr=kπ2 for any k≤1 and A=Σkr=1(βr)r, then limx� – InterviewSolution

1.	If Σkr=1cos−1βr=kπ2 for any k≤1 and A=Σkr=1(βr)r, then limx→A(1+x)1/3−(1−2x)1/4x+x2 is equal to
Answer» If $Σ_{r = 1}^{k} c o s^{- 1} β_{r} = \frac{k π}{2}$ for any $k \leq 1$ and $A = Σ_{r = 1}^{k} (β_{r})^{r}$ , then $l i m x \to A \frac{(1 + x)^{1 / 3} - (1 - 2 x)^{1 / 4}}{x + x^{2}}$ is equal to

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