Question

how to solve this problem ?
if x is so small that x^3 and higher powers of x may be neglected, then {(1+x)^(3/2) - (1+x/2)^3}/(1-x)^1/2 may be approximated as:

Answer 1

do you know this?\[(1+x)^n = 1 +n x + \frac{n(n-1)}{2!} x^2 + \frac{n(n-1)(n-2)}{3!}x^3\]

Answer 2

yes but i thought this is used only when x lies between -1 and 1..

Answer 3

correct, but you are given that indirectly

Answer 4

oh..yes!..now i got it..thank you

Answer 5

but the answer does not match..