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....

1 answer below »

Calculus Home work Due Monday 16, 2013 1. Let f(x) = 3x2 - 5x + 2. Evaluate limx?-2 f(x). 2. Calculate limx?2 x2-4 x-2 . 3. Calculate limt?1 5t2+6t+1 8t-4 . 4. Calculate limx?3vx2 - 10. 3

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 x4 2. Calculate lim . x!2 x2 2 5t +6t+1 3. Calculate lim . t!1 8t4 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+11 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+h4 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

005_doxmbjo-ek31bcxw.pdf

Answered Same DayDec 31, 2021

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

Robert answered on Dec 31 2021

125 Votes

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: (5)  
3
4 1 1
b
f x
b

 

(a)
 
 
 
 
2 2
2
3
lim lim
4 1 1
3 2
4 2 1 1
6
8 1 1
6
9...

SOLUTION.PDF

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....

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

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment