Step-by-step explanation:
The sequence is convergent if the value of the solution approaches the some real value of the limit.
For example,
[tex]^{\lim_{x\rightarrow 2}\ x^2-2x+2}[/tex]
If the limit is put, the answer is 2
Hence, it is a convergent sequence.
[tex]^{\lim_{x\rightarrow 0}\ sinx}[/tex]
If the limit is put, the answer is 0
Hence, it is a convergent sequence.
