Mathematics

Math Equations
1). Find the interval I and the radius of convergence R for the given power series.
∑_(n=1)^∞▒〖2^n/n x^n 〗
2). Find the interval I and radius of convergence R for the given power series.
∑_(k=0)^∞▒〖(4x=1)〗^k/(k^2+k)
3). Use an appropriate series in (2) in section 6.1 to find the maclaurin series of the given function. Write your answer in summation notation.
The general formula for maclaurin series is
f(x)=∑▒〖(f^n (0))/n! x^n 〗
5). Evaluate the line integral   where c is given by the vector function r (t).
∫_c▒〖F.dr〗

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