What is it limit as xrarr9? sqrtr/((r-9)^4)
1 Answer
Feb 19, 2018
the limit does not exist (it diverges)
Explanation:
We seek the limit:
L = lim_(r rarr 9) sqrt(r)/(r-9)^4
We note that if we substitute
However, this alone tells us that there is an asymptote of the function
lim_(r rarr 9) sqrt(r)/(r-9)^4 \ ~ \ 3/0 asr rarr 9
In other words
lim_(r rarr 9) sqrt(r)/(r-9)^4 rarr oo
And we conclude that the limit does not exist (it diverges)