I have written the complete $\varepsilon-\delta$a proof for $\lim_{x \to 0} x^3 + 1 = 1$, and have included rough work. Can someone please verify whether my proof is correct? Thanks in advance.
2026-05-05 19:06:15.1778007975
Is my $\varepsilon-\delta$ proof correct?
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Your proof is basically correct, but halfway through you write $1 < x^2 < 1$ which is certainly not true, but fortunately also not necessary.