Question

Give the definition of convergent sequence. Then give 2 example.

Answer 1

Explanation:

The sequence is convergent if the value of the solution approaches the some real value of the limit.

For example,

`^{\lim_(x\rightarrow 2)\ x^2-2x+2}`

If the limit is put, the answer is 2

Hence, it is a convergent sequence.

`^{\lim_(x\rightarrow 0)\ sinx}`

If the limit is put, the answer is 0

Hence, it is a convergent sequence.