436
Chapter 4 | Applications of Derivatives
4.6 EXERCISES For the following exercises, examine the graphs. Identify where the vertical asymptotes are located. 251.
254.
255.
252.
For the following functions f ( x ), determine whether there is an asymptote at x = a . Justify your answer without graphing on a calculator. 256. f ( x ) = x +1 x 2 +5 x +4 , a =−1 257. f ( x ) = x x −2 , a =2
253.
258. f ( x ) = ( x +2) 3/2 , a =−2 259. f ( x ) = ( x −1) −1/3 , a =1 260. f ( x ) =1+ x −2/5 , a =1
For the following exercises, evaluate the limit.
1 3 x +6
lim x
261.
→∞
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