Find the first three terms in the expansion of (4-x)^(-1/2) in ascending powers of x.

(4-x)-1/2 = (4 (1 - x/4))-1/2 = 1/2 (1 - x/4)-1/2 = 1/2 ( 1 + x/8 + 3x2/128 + ...) = 1/2 + x/16 + 3x2/256 + ...Therefore the first three terms are 1/2 + x/16 + 3x2/256

Answered by Maths tutor

16424 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Where does the quadratic formula come from?


Integrate (x+3)^(1/2) .dx


X=4x^2 + 5x^7 - sin(3x) find dy/dx


Given that y = 8x + 2x^-1, find the 2 values for x for which dy/dx = 0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning