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EBK CALCULUS EARLY TRANSCENDENTALS
- a) Write the given function as a power series: (cos(x)-1)/x. Your power series should start with n=1 and not n=0. b) Evaluate the indefinite integral as an infinite series: integral of ((cos(x)-1)/x); evaluate from n=1 to n=infinity.arrow_forwardNumber 5arrow_forwardfind the sum of the series Σ (sin(20)-sin (-41)) n=1 n+1arrow_forwardConsider the expansion y = p=0 96pxop with coefficients given by a6p = (-1)Pao/(2p)!. Which function does this series correspond to? ao exp(x6). Cao sin(x). ao sin(x³). Cao cos(x6). Cao exp(x3). ao cos(x³).arrow_forwardFind the power series for the functions below. Write your answers with the sum starting at n=0 a) f(x) = ln (x+1) b) r(x) = x^4/(1+2x)^3 ( 1+2x in the parenthesis raised to the power of 3).arrow_forward1. You are given that tan-1x = x -x3 + x7 + .- for |x| < 1. 1. | ... 3 5. Use the given series to obtain a power series for tan-(x²). b) Use the first three nonzero terms of your series in part (a) to find an 0.5 approximate value tan-1(x²) dxarrow_forward1 Start from the power series of the function g(x) = and then from 1-x there, step by step get to the power series expansion of the function x²+x Show the steps and write the final answer in summation (1-x)³ f(x) = =arrow_forwardarrow_back_iosarrow_forward_ios
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