What is the limit as x approaches pi/6 of sec^2(x) ?

The limit as x approaches pi/6 of sec^2(x) is 4/3

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limit as x approaches pi/6 of sec^2(x)

x \to \frac{π}{6} lim (sec^{2} (x))

\frac{4}{3}

Decimal

1.33333 \dots

Solution steps

x \to \frac{π}{6} lim (sec^{2} (x))

Plug in the value

x = \frac{π}{6}

= sec^{2} (\frac{π}{6})

Simplify

sec^{2} (\frac{π}{6}) : \frac{4}{3}

= \frac{4}{3}

x \to \infty lim (x \cdot 10)

x \to 0 lim (\frac{4 x ^{2} + 16 - 20 x}{- 40 + 5 x ^{2} - 10 x})

x \to 5 - lim (\frac{3 x}{x ^{2} - 5 x})

x \to 0 lim (x^{4} sin (\frac{p}{x}))

n \to \infty lim (1 + nb)

What is the limit as x approaches pi/6 of sec^2(x) ?
The limit as x approaches pi/6 of sec^2(x) is 4/3