What is the limit as x approaches (7pi)/2+of xsec(x) ?

The limit as x approaches (7pi)/2+of xsec(x) is infinity

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limit as x approaches (7pi)/2+of xsec(x)

x \to \frac{7 π}{2} + lim (x sec (x))

\infty

Solution steps

x \to \frac{7 π}{2} + lim (x sec (x))

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to \frac{7 π}{2} + lim (x) \cdot x \to \frac{7 π}{2} + lim (sec (x))

x \to \frac{7 π}{2} + lim (x) = \frac{7 π}{2}

x \to \frac{7 π}{2} + lim (sec (x)) = \infty

= \frac{7 π}{2} \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

t \to 0 lim (\frac{4}{11 + t})

x \to 0 lim (\frac{x ^{3} + 1}{x ^{2}})

x \to 0 lim (4 + x - 2)

x \to 3 lim (\frac{sin ^{2} ( x )}{x})

x \to 6 lim (\frac{6 x - 36}{x - 6})

What is the limit as x approaches (7pi)/2+of xsec(x) ?
The limit as x approaches (7pi)/2+of xsec(x) is infinity