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

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

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limit as x approaches 0+of cos^x(pi/2-x)

x \to 0 + lim (cos^{x} (\frac{π}{2} - x))

1

Solution steps

x \to 0 + lim (cos^{x} (\frac{π}{2} - x))

Apply the Squeeze Theorem:

1

= 1

\int 5 cos (2 x) d x

y^{^{''}} + 4 y^{^{'}} + 4 = 0, y^{^{'}} (0) = 1

a re a f (x) = cos (x), - \frac{π}{2}, \frac{π}{2}

x y^{^{'}} = y + y^{3}

\frac{d y}{d x} + \frac{y}{x} = x y^{2}

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