\lim _{x\to 0}\left(\frac{\sqrt{1+3x+x^2}-1}{\a rcsin \left(2x\right)}\right)

Step-by-step explanation:

Note that as , the ratio becomes undefined. Using L'Hopital's Rule, where

where f'(x) and g'(x) are the derivatives of the functions f(x) and g(x), respectively. Note that

Therefore,

or

the balance is found at the link

step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.