Proving Convergence of Xn: Triangle Inequality & Examples

[alice 9]

hi every body
show if Xn→x then lXnl→lxl hint use trangle inequality
2/ show
if lXnl→0 then Xn →0

show by example that lXnl fore all n in N MAY CONVERGE and Xn may not converge

 

[╔(σ_σ)╝]

Use the triangle inequality.
||a|-|b||< |a-b|

These questions are extremely trivial.

Please show your work. We do not do your homework for you.