Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. i. lim x4-256 x→4 x-4 ii. lim x²-3x X-3 X-9

3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. i. lim x4-256 x→4 x-4 ii. lim x²-3x X-3 X-9

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 31E
See similar textbooks
icon
Related questions
Question

Can some please assist 

3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. i. lim x→4 x4. -256 ii. lim x-4 x²-3x x 3 x-9 (c)Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account with a fixed annual rate r, with monthly compounding. The amount of money A in the account after 5years (60 months) is: A(r) = 150,000( 1 + r¹2). Your goal is to have $200,000 in the account after 5 years. i. Use the Intermediate value theorem to show there is a value of r in (0,0.07) that is an interest rate between 0% and 7% for which A(r) = 200,000. ii. Use a graphing utility to illustrate your explanation in part (i) and then estimate the interest rate required to reach your goal.
Transcribed Image Text:3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in every situation? Please justify your answer? (b) Evaluate each limit. Use L'Hospital's Rule where appropriate. i. lim x→4 x4. -256 ii. lim x-4 x²-3x x 3 x-9 (c)Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account with a fixed annual rate r, with monthly compounding. The amount of money A in the account after 5years (60 months) is: A(r) = 150,000( 1 + r¹2). Your goal is to have $200,000 in the account after 5 years. i. Use the Intermediate value theorem to show there is a value of r in (0,0.07) that is an interest rate between 0% and 7% for which A(r) = 200,000. ii. Use a graphing utility to illustrate your explanation in part (i) and then estimate the interest rate required to reach your goal.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS