limit as x approaches pi/2 of tan^2(x)

解答

x \to \frac{π}{2} lim (tan^{2} (x))

\infty

求解步骤

x \to \frac{π}{2} lim (tan^{2} (x))

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

不定型除外

= (x \to \frac{π}{2} lim (tan (x)))^{2}

运用一般极限法则:

x \to \frac{π}{2} lim (tan (x)) = - \infty

= (- \infty)^{2}

运用无穷大属性:

(- \infty)^{n} = \infty, n

is even

= \infty

y^{^{''}} + 2 y^{^{'}} + y = sin (x) + 6 cos (2 x)

x \to - 2 lim (x^{3} + 6 x^{2} - 16)

\int \frac{( cos ^{2} ( x ) )}{sin ( x )} d x

\int \frac{1}{( 2 x + 3 ) ^{2}} d x

l a pl a ce t r an s f or m cos^{2} (4 t)