How do you find the Maclaurin series of #f(x)=cos(x^2)# ? Calculus Power Series Constructing a Maclaurin Series 1 Answer Wataru Sep 12, 2014 We have the Maclaurin series #cosx=sum_{n=0}^infty(-1)^n{x^{2n}}/{(2n)!}# by replacing #x# by #x^2#, #cos(x^2)=sum_{n=0}^infty(-1)^n{x^{4n}}/{(2n)!}# Answer link Related questions How do you find the Maclaurin series of #f(x)=(1-x)^-2# ? How do you find the Maclaurin series of #f(x)=cosh(x)# ? How do you find the Maclaurin series of #f(x)=cos(x)# ? How do you find the Maclaurin series of #f(x)=e^(-2x)# ? How do you find the Maclaurin series of #f(x)=e^x# ? How do you find the Maclaurin series of #f(x)=ln(1+x)# ? How do you find the Maclaurin series of #f(x)=ln(1+x^2)# ? How do you find the Maclaurin series of #f(x)=sin(x)# ? How do you use a Maclaurin series to find the derivative of a function? How do I obtain the Maclaurin series for #f(x)= 2xln(1+x3)#? See all questions in Constructing a Maclaurin Series Impact of this question 21399 views around the world You can reuse this answer Creative Commons License