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- Find the first five non-zero terms of power series representation centered at x=0 for the function below. also what is the interval of convergence x2/(1+6x)It appears that the terms of the series 1/ 1000 + 1/ 1001 + 1/ 1002 + 1/ 1003 + . . . are less than the corresponding terms of the convergent series 1 + 1/ 4 + 1/ 9 + 1/16 + . . . . If the statement above is correct, then the first series converges. Is this correct? Why or why not? Make a statement about how the divergence or convergence of a series is affected by the inclusion or exclusion of the first finite number of terms.Suppose the series $\Sigma c_{n} x^{n}$ has radius of convergence 2 and the series $\sum d_{n} x^{n}$ has radius of convergence $3 .$ What is the radius of convergence of the series $\Sigma\left(c_{n}+d_{n}\right) x^{n} ?$