- #1
Aleolomorfo
- 73
- 4
Homework Statement
Finding the value of the limit:
$$\lim_{t\to +\infty} t+\frac{1-\sqrt{1+a^2t^2}}{a}$$
##a## is just a costant
The Attempt at a Solution
At first sight I had thought that the limit was ##\infty## but then I realized that there is an indeterminate form ##\infty - \infty##. I tried to rationalize the second part of the sum in the limit and I found ##\frac{\infty}{\infty}## which gave ##\infty## and so I found again ##\infty - \infty##. I don't really know how to get the answer.