91Ó°ÊÓ

The sum of the coefficients of even power of \(x\) in the expansion of \(\left(1+x+x^{2}+x^{3}\right)^{5}\) is a. 256 b. 128 c. 512 d. 64

If the sum of the coefficients in the expansion of \((a+b)^{n}\) is 4096 , then the greatest coefficient in the expansion is a. 924 b. 792 c. 1594 d. none of these

If \(x\) is so small that \(x^{3}\) and higher powers of \(x\) may be neglected, then $$ \frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^{3}}{(1-x)^{1 / 2}} $$ may be approximated as a. \(3 x+\frac{3}{8} x^{2}\) b. \(1-\frac{3}{8} x^{2}\) c. \(\frac{x}{2}-\frac{3}{x} x^{2}\) d. \(-\frac{3}{8} x^{2}\)