- #1

- 76

- 0

## Homework Statement

find:

lim x[itex]\rightarrow0[/itex] (x+2)tan

^{-1}(x+2)-xtan

^{-1}(x)

## Homework Equations

## The Attempt at a Solution

lim x[itex]\rightarrow0[/itex] (x+2)tan

^{-1}(x+2)-xtan

^{-1}(x)=

lim x[itex]\rightarrow0[/itex] [x(tan

^{-1}(x+2)-tan

^{-1}(x))+2tan

^{-1}(x+2)]