# How do you find #lim sqrt(t^2+2)/(4t+2)# as #t->-oo#?

##### 1 Answer

Dec 25, 2016

Please see below.

#### Explanation:

For

Furthermore,

And

So,

# = lim_(trarr-oo)(-tsqrt(1+2/t^2))/(t(4+2/t))#

# = lim_(trarr-oo)(-sqrt(1+2/t^2))/(4+2/t)#

# = (-sqrt(1+0))/(4+0) #

# = (-1)/4#