23.
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Calculus & Its Applications (14th Edition)
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- Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 1 12 + x Determine the interval of convergence. (Enter your answer using interval notation.)arrow_forwardUsing the integral test determine whether the series is convergentarrow_forwardfind a power series representation for the function. determine the interval do convergence. (give your power series representation centered at x=0). f(x) = x/(3x^(2)+1).arrow_forward
- Find a power series representation for the function. (Give your power series representation centered at x=0.) f(x)=(1+x)/(1-x) Determine the interval of convergence. (Enter your answer using interval notation.)arrow_forwardDetermine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used. ∑n=0 [7n+1 / 8n]arrow_forwardFind a power series representation for the function. (Center your power series representation at x = 0.) Determine the interval of convergence. (Enter your answer using interval notation.)arrow_forward
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