What is the limit as x approaches 0+of cos^2(x)+1 ?

The limit as x approaches 0+of cos^2(x)+1 is 2

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limit as x approaches 0+of cos^2(x)+1

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

2

Solution steps

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

Plug in the value

x = 0

= cos^{2} (0) + 1

Simplify

cos^{2} (0) + 1 : 2

= 2

t \to \frac{π}{4} lim (\frac{sin ( t )}{t})

x \to 1 lim (\frac{x ^{2} + 1}{x + 6})

x \to 8 lim (\frac{x ^{2} - 8 x}{x ^{2} - 7 x - 8})

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

x \to 5 lim (3 x - 5)

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