What is the limit as x approaches 0 of sec^2(x)-1 ?

The limit as x approaches 0 of sec^2(x)-1 is 0

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limit as x approaches 0 of sec^2(x)-1

x \to 0 lim (sec^{2} (x) - 1)

0

Solution steps

x \to 0 lim (sec^{2} (x) - 1)

Plug in the value

x = 0

= sec^{2} (0) - 1

Simplify

sec^{2} (0) - 1 : 0

= 0

x \to - 2 lim (x^{2} - x - 6)

x \to - 4 - lim (\frac{( x + 2 )}{x + 4})

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

x \to - 6 lim (\frac{2}{4 x + 10})

x \to 0 lim (ln (x) ln (x + 1))

What is the limit as x approaches 0 of sec^2(x)-1 ?
The limit as x approaches 0 of sec^2(x)-1 is 0