What is the limit as x approaches pi/4 of (1-2sin(2x))/(cos(x)-sin(x)) ?

The limit as x approaches pi/4 of (1-2sin(2x))/(cos(x)-sin(x)) is diverges

Popular >

limit as x approaches pi/4 of (1-2sin(2x))/(cos(x)-sin(x))

x \to \frac{π}{4} lim (\frac{1 - 2 sin ( 2 x )}{cos ( x ) - sin ( x )})

diverges

Solution steps

x \to \frac{π}{4} lim (\frac{1 - 2 sin ( 2 x )}{cos ( x ) - sin ( x )})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to \frac{π}{4} + lim (\frac{1 - 2 sin ( 2 x )}{cos ( x ) - sin ( x )}) = \infty

x \to \frac{π}{4} - lim (\frac{1 - 2 sin ( 2 x )}{cos ( x ) - sin ( x )}) = - \infty

= diverges

\frac{d}{d x} (3 x^{2} - 5 x + 7)

\int cos (1 + x) d x

y^{^{''}} + 25 y = cos (8 t)

\frac{d}{d x} (\frac{3 x ^{- 2} + 2}{x ^{2} + 8})

\frac{d}{d x} (- \frac{- 2 ln ( x ) + 3}{x ^{3}})

What is the limit as x approaches pi/4 of (1-2sin(2x))/(cos(x)-sin(x)) ?
The limit as x approaches pi/4 of (1-2sin(2x))/(cos(x)-sin(x)) is diverges