Question

Use epsilon-delta to prove
\[lim_{x\rightarrow -1}\dfrac{x+5}{2x+3}=4\]
Please, help

Answer 1

@perl

Answer 2

lim f(x) = L , as x->a

(if and only if) <=>
for all epsilon, there exists delta >0 such that
if 0 < | x - a | < delta , then |f(x) - L | < epsilon

Answer 3

so lets start with the part | f (x) - L | < epsilon, and try to reverse engineer this

Answer 4

also we need to find the limit as x ->-1

Answer 5

which is probably f(-1)

Answer 6

nevermind, the limit was given :)

Answer 7

ok