Calculus Home work Due Monday 16, XXXXXXXXXXLet f(x) = 3x2 - 5x + 2. Evaluate limx?-2 f(x). 2....

Question

Calculus Home work Due Monday 16, XXXXXXXXXXLet f(x) = 3x2 - 5x + 2. Evaluate limx?-2 f(x). 2. Calculate limx?2 x2-4 x XXXXXXXXXXCalculate limt?1 5t2+6t+1 8t XXXXXXXXXXCalculate limx?3vx XXXXXXXXXX 5. Let f(x) = 3b v4b+1-1. Find limb?2 f(b) and limb?0 f(b). The first limit is very easy, the second requires some manipulation on your part.6. (One-sided limits)Let f(x) =0 if x = 2 v25 - x2 if 2 Compute the following limits (a) limx?5- f(x), (b)limx?5+ f(x), (c)limx?5 f(x) ,limx?2- f(x), (d)limx?2+ f(x), (e)limx?2 f(x), (f) limx?100 f(x) 7. Calculate limh?0 v16+h-4 h 8.Assume limx?3 g(x) and f(x) = g(x) whenever x =? 3. What is limx?3 f(x)? Explain your answer.Note that all these problems are from Section 2.3. Pleasee work out as many as you can from this section. I can put too many problems on the homework–I expect you to workout as many problems as you can from the Book.1
	
Document Preview: Calculus Home work Due Monday 16, 2013
2
1. Let f(x) = 3x   5x + 2. Evaluate lim f(x).
x! 2
2
x 4
2. Calculate lim .
x!2
x 2
2
5t +6t+1
3. Calculate lim .
t!1
8t 4
p
3
2
4. Calculate lim x   10.
x!3
3b
p
5. Let f(x) = . Find lim f(b) and lim f(b). The rst limit is very easy,
b!2 b!0
4b+1 1
the second requires some manipulation on your part.
6. (One-sided limits)
8
>0 if x 2

:
3x if x 5
Compute the following limits (a) lim  f(x), (b)lim +f(x), (c)lim f(x) ,lim  f(x),
x!5 x!5 x!5 x!2
+
(d)lim f(x), (e)lim f(x), (f) lim f(x)
x!2 x!2 x!100
p
16+h 4
7. Calculate lim
h!0
h
8.Assume lim g(x) and f(x) = g(x) whenever x =6 3. What is lim f(x)? Explain
x!3 x!3
your answer.
Note that all these problems are from Section 2.3. Pleasee work out as many as you can
from this section. I can put too many problems on the homework{I expect you to workout
as many problems as you can from the Book.
1

Robert · Accepted Answer

Sol: (1)     23 5 2f x x x  
   
   
 
2
2 2
2
2
lim lim 3 5 2
3 2 5 2 2
12 10 2
lim 24
x x
x
f x x x
f x
 

  
    
  


Sol: (2)
   
 
 
2
2 2
2
2
2
2 24
lim lim
2 2
lim 2
2 2
4
lim 4
2
x x
x
x
x xx
x x
x
x
x
 


 

 
 
 




Sol: (3)
   
 
22
1
2
1
5 1 6 1 15 6 1
lim
8 4 8 1 4
5 6 1
8 4
12
4
5 6 1
lim 3
8 4
t
t
t t
t
t t
t


  

 
 



 



Sol: (4)
 
223 3
3
3
3
3
23
3
lim 10 3 10
9 10
1
1 3
lim 10
2 2
x
i
x
x
e
i
x



  
 
 

  

Sol:

Calculus Home work Due Monday 16, XXXXXXXXXXLet f(x) = 3x2 - 5x + 2. Evaluate limx?-2 f(x). 2. Calculate limx?2 x2-4 x XXXXXXXXXXCalculate limt?1 5t2+6t+1 8t XXXXXXXXXXCalculate limx?3vx XXXXXXXXXX 5....

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment