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

\int \frac{37 - 11 x}{( x + 1 ) ( x - 2 ) ( x - 3 )} d x

y^{^{''}} + 3 y^{^{'}} = 4 x - 5

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

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

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