Answer Happy

3. For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn​}. Then evaluate n→∞lim​Sn​ to obtain the value of the series or state that the series diverges. a) k=1∑∞​(k+21​−k+31​) b) k=1∑∞​(k+1​−k​)