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Mama L [17]
3 years ago
6

I need to find the limit

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
For x=\dfrac{1}{2} the function is undefined.

\displaystyle
\lim_{x\to\tfrac{1}{2}^-} x\sec (\pi x)=\infty\\
\lim_{x\to\tfrac{1}{2}^+} x\sec (\pi x)=-\infty\\\\
\lim_{x\to\tfrac{1}{2}^-}x\sec (\pi x)\not = \lim_{x\to\tfrac{1}{2}^+}x\sec (\pi x)

So, the limit doesn't exist.
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