1. Use the Ratio Test or Root Test to determine the convergence or divergence of the...

 

 

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1. Use the Ratio Test or Root Test to determine the convergence or divergence of the given series. a. 5n+3 3n+5 b. (-1) 1-3-5-(2-1) n! 2. Find the radius of convergence and interval of convergence of the given power series. 2" (x-3)" n+3 1 3. Use the power series representation for to find a power series representation of the 1-x given function and determine the radius of convergence. a. f(x)=- x+16 x b. f(x)= (1+4x) 4. Evaluate the indefinite integral as a power series. State the radius of convergence. x In (1+x)dx 1. Use the Ratio Test or Root Test to determine the convergence or divergence of the given series. a. 5n+3 3n+5 b. (-1) 1-3-5-(2-1) n! 2. Find the radius of convergence and interval of convergence of the given power series. 2" (x-3)" n+3 1 3. Use the power series representation for to find a power series representation of the 1-x given function and determine the radius of convergence. a. f(x)=- x+16 x b. f(x)= (1+4x) 4. Evaluate the indefinite integral as a power series. State the radius of convergence. x In (1+x)dx