Prove $\lim_{x \to -1} \dfrac{x+5}{2x+3} = 4 $
I need to find a lower bound for $|2x+3|$ in order to prove this but I can't see the way, as I always ended up with upper bounds.
2026-04-09 10:54:50.1775732090
Prove $\lim_{x \to -1} \dfrac{x+5}{2x+3} = 4 $
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Hint: $|2x+3|=|2(x+1)+1|\geq 1-2|x+1|>1-2\delta$ if $|x+1| <\delta$.