How do I go about proving that $\lim_{x\rightarrow1/2}{2x\sec(πx)}=\infty$ with some type of rigor? I'm rusty.
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You are talking about the left handed limit Because and for .
Last edited by Archie; Jun 3rd 2017 at 11:03 AM.
Prove that for every $\varepsilon>0$ there exists $\delta>0$ such that $x\in \left(\dfrac{1}{2}-\delta,\dfrac{1}{2}\right)$, you have $2x\sec(\pi x)>\varepsilon$