01
L’Hopital practice - converting indeterminate form
By imitating the technique of the L’Hopital’s Rule example, find the limit of the sequence:
02
Squeeze theorem
Determine whether the sequence converges, and if it does, find its limit:
(a)
(b) (Hint for (b): Verify that
.)
03
Computing the terms of a sequence
Calculate the first four terms of each sequence from the given general term, starting at
: (a)
(b) (c) (d) (e) (f)
04
General term of a sequence
Find a formula for the general term (the
term) of each sequence: (a)
(b) (c)
05
Limits and convergence
For each sequence, either write the limit value (if it converges), or write ‘diverges’.
(a)
(b) (c) (d)
(e)
06
Limits and convergence
For each sequence, either write the limit value (if it converges), or write ‘diverges’.
(a)
(b) (c) (d) (e)
(f) (g) (h)
07
Limits and convergence
For each sequence, either write the limit value (if it converges), or write ‘diverges’.
(a)
(b) (c) (d) (e)
(f) (g)