**Exercise 1.1**

(a) Find the set of all

(b) Find the set of all

(c) Find the set of all

Give your answers as an interval or a union of disjoint intervals.

**Exercise 1.2**

(a) Find the set of all

(b) Find the set of all

Give your answers as an interval or a union of disjoint intervals. Leave any numbers in your answers in surd form.

**Exercise 1.3**

Consider the sequence defined by

(a) Find as simple an expression as you can for

(b) Supposing

(c) Write down a proof that Let

and
Let

.

**Exercise 1.4**

Consider the statement **X**, which is

and the sequence defined by **X** holds for this sequence for both

**All assertions you make in your answers MUST be supported by proofs.**

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