PROBLEM 01

(1 point)

For the function g 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)(�)lim�→∞�(�)(�)lim�→−∞�(�)(�)lim�→3�(�)(�)lim�→0�(�)(�)lim�→−2+�(�)
(f)(�) The equations of the asymptotes (in increasing order).

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

台大WEBWORK 微積分1:11~14組 【2.6: Pr

台大WEBWORK 微積分1:11~14組 【2.6: Pr

 

 

PROBLEM 02

(1 point) Find the following limit. If the limit goes to , write "inf". If a limit goes to −∞, write "-inf".
limx8x+27x2+1lim�→∞8�+27�2+1
Limit: 

台大WEBWORK 微積分1:11~14組 【2.6: Pr

 

PROBLEM 03

(1 point)

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)lim�→−∞(�+�2+2�)

 

台大WEBWORK 微積分1:11~14組 【2.6: Pr

台大WEBWORK 微積分1:11~14組 【2.6: Pr

 

PROBLEM 04

(1 point) Evaluate the following limit.

limx(π/2)+etanxlim�→(�/2)+�tan⁡�

 

Limit =  help (limits)

 

台大WEBWORK 微積分1:11~14組 【2.6: Pr

台大WEBWORK 微積分1:11~14組 【2.6: Pr

 

PROBLEM 05

(1 point)

Use the graph of the function f(x)=1/(1+e1/x)�(�)=1/(1+�1/�) to state the value of each limit.
If it does not exist, enter "n" below. If the answer is infinite, use "i" to represent infinity.
(a) limx0f(x)lim�→0−�(�)
(b) limx0+f(x)lim�→0+�(�)
(c) limx0f(x)lim�→0�(�)

(a) 
(b) 
(c) 

 

台大WEBWORK 微積分1:11~14組 【2.6: Pr

 

 

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