Lecture 5

1. For the given sequences

·         determine the first three terms

·         determine the minimum, maximum, infimum and supremum

·         decide the boundedness of the sequence

·         sketch the graph of the first three terms

a)                                              b)


2. Calculate the following limits:

                                                                                                 a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

m)


3. Determine whether the given geometric series is convergent and, if so, determine its sum.

                                                                                                 a)

b)