What is the limit as x approaches 0 of (sec(x-1))/(xsec(x)) ?

The limit as x approaches 0 of (sec(x-1))/(xsec(x)) is diverges

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limit as x approaches 0 of (sec(x-1))/(xsec(x))

x \to 0 lim (\frac{sec ( x - 1 )}{x sec ( x )})

diverges

Solution steps

x \to 0 lim (\frac{sec ( x - 1 )}{x sec ( x )})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{sec ( x - 1 )}{x sec ( x )}) = \infty

x \to 0 - lim (\frac{sec ( x - 1 )}{x sec ( x )}) = - \infty

= diverges

\int e^{k t} d t

\frac{\partial}{\partial x} ((5 x^{3} y + 4 y^{5})^{3})

\frac{d y}{d x} + 4 y - e^{- x} = 0, y (0) = \frac{4}{3}

sin^{2} (6 t)

\frac{d}{d x} (e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x})

What is the limit as x approaches 0 of (sec(x-1))/(xsec(x)) ?
The limit as x approaches 0 of (sec(x-1))/(xsec(x)) is diverges