Let{xn} be a sequence of real numbers that is bounded above byMand such that

xn®x. Prove thatx£M.

we know that

Asequence{xn} isboundedif there exists anxÎXand a real number

M> 0 such thatd(xn,x) £Mfor alln. also it convergent to x.

how can I use this to prove. any help will be apprciated.