Show that a sequence {sn} coverages to a limit l if and only if the sequence {sn-l} coverages to zero.

Step-by-step explanation:

To prove this we can use the definition of a sequence converging to its limit, in terms of epsilon:

The sequence converges to

if and only if

for every there exists such that

if and only if

for every there exists such that

if and only if

the sequence converges to 0.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: