Q91 Find the Maclaurin series for the function at x=0. Then state whether the series diverges or converges. Apply five values of x (x=1, x=2, x=3, x=4,x=5) to * .the final results 1 1 + x

Use the binomial series to finel the Taylır Series about x=0 of the function fow = (9-x)-/2 for which valuè of x the series Converges to the function. Indicate

Determine whether the alternating series E (-1)^+1° converges or diverges. n = 1 n3

Q9/ Answer the following points i. Find the first three nonzero terms of Maclaurin series for the functions f(x) = e* and other function f (x) = e-x ii. By depending on point (i), find the series for function f(x) = Cosh(x) where Cosh(x) = *+e Ans/ i) e* = 1+x+x² + .. e- = 1-x+ -- e +e* ii) Cosh(x) Cosh(x) = 1+++ مرّ للأعلى لاستعراض الفلاتر إضافة شرح. . . + mum < III

Form the Maclaurin Series formula for the expression e* + 2. (5 terms) From the answer in number 2, approximate the value if x = 0 Round off the answer to number 3 to the nearest hundredths digit. Determine the absolute and relative error.

Determine the series of the given function. Write out the sum of the first four nonzero terms of the series representing this function. Determine the interval of convergence a) g(x) = In( 1 - 2 x ) %3D b) f(x)= 7/(5+x^2)