2. Telescopic series. Calculate the value of the following infinite sums. In all cases, you can start by finding a formula for the N-th partial sum, and then taking the limit. (a) arctan n - arctan(n + 1)] (c) n2 + 3n n=0 n=1 OO 0O n ( b ) n + 2 In (d) M n +1 n3 - n n=1 n=3 A B Hint: For Question 2c, write + n2 + 3n Something similar helps for 2d. n n +3 Q2(a), (b) and (c) are additional practice. Please show your work here for Q2(d)