Determine if the statement is true or false 5a A series sigm

Determine if the statement is true or false. 5a. A series sigma_k=1^infinity a_k converges if and only if lim_krightarrowinfinity a_k = 0. 5b. The series 1 - 1 + 1/2 - 1/2 + 1/3 - 1/3 +... converges to 0. 5c. A series converges if and only if its sequence of partial sums in bounded. 5d. lim_xrightarrowinfinity integral_1^x squareroott^2 + 7t + 5 dt/x^2 = 1/2

Solution

5a. Falsa

5b. True

5c. True

5d. True