What is the limit as x approaches infinity of arctan(5)-arctan(x+1) ?

The limit as x approaches infinity of arctan(5)-arctan(x+1) is arctan(5)-pi/2

Popular >

limit as x approaches infinity of arctan(5)-arctan(x+1)

x \to \infty lim (arctan (5) - arctan (x + 1))

arctan (5) - \frac{π}{2}

Decimal Notation

- 0.19739 \dots

Solution steps

x \to \infty lim (arctan (5) - arctan (x + 1))

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (arctan (5)) - x \to \infty lim (arctan (x + 1))

x \to \infty lim (arctan (5)) = arctan (5)

x \to \infty lim (arctan (x + 1)) = \frac{π}{2}

= arctan (5) - \frac{π}{2}

8 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

\frac{d y}{d x} + y^{3} x + 2 y = 0

\int \frac{2}{x} + \frac{x}{2} d x

x \to \frac{π}{2} lim (\frac{csc ( 4 x )}{csc ( 2 x )})

f (x) = \frac{2 x - 1}{x + 5}, at x = 1

What is the limit as x approaches infinity of arctan(5)-arctan(x+1) ?
The limit as x approaches infinity of arctan(5)-arctan(x+1) is arctan(5)-pi/2