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

15881 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t


How does one find the area of a generic triangle?


Find the derivative of f(x)=x^3 sin(x)


What is the differential of e^x?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences