EXERCISE 9.1
1.
(a)
(b)
(c)
(d)
2.
(a)
Then \quad for .
And
(b)
and
3.
(a)
(b)
(c)
and
4.
(b)
5.
(a)
For we have
We see that the oscillates between and , therefore does not exist.
(b)
(C)
Since oscillates between +1 and -1 , therefore it does not converge.
6.
(a)
(b) We see from part (a) that
Thus converges to 0 .
(c)
We observe that oscillates between and , therefore does not converge.