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For the function gg whose graph is given, state the following. (If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D".)

(a)limxg(x)(d)limx0g(x)(b)limxg(x)(e)limx2+g(x)(c)limx3g(x)(a)limx→∞g(x)(b)limx→−∞g(x)(c)limx→3g(x)(d)limx→0g(x)(e)limx→−2+g(x)
(f)(f) The equations of the asymptotes (in increasing order).

(a)      (b)      (c) 
(d)      (e) 
(f) x= x=   , x= x=   , and x= x=  
  y=   y=   and y= y=  

 

 

Find the following limit. If the limit goes to , write "inf". If a limit goes to −∞, write "-inf".

limx2x+23x2+1

 

Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D".

 

limx(x+x2+2x)

 

 Evaluate the following limit.

limx(π/2)+etanxlimx→(π/2)+etan⁡x

 

Limit = 

 

Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D".

 

limxtan1(x2x4)

 

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