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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. x4 – 256 lim- х — 4 i. x→4 x² – 3x lim- х—3 х2 — 9 ii.

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. x4 – 256 lim- х — 4 i. x→4 x² – 3x lim- х—3 х2 — 9 ii.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 1CYU
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3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in situation? Please justify your answer? every (b) Evaluate each limit. Use L’Hospital's Rule where appropriate. x4 – 256 lim- х — 4 i. x→4 x² – 3x lim- x→3 x2 – 9 ii. b. ) 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 $200,000 in the account after 5 years. i. Use the Intermediate value theorem to show there is a value of r in ( 0,0.07) that is an interest rate between 0% and 7% for which A(r ) = 200,000 ii. Use a graphing utility to illustrate your explanation in part (i) and then estimate the interest rate required to reach your goal %3D 3(b) Evaluate the following Limits i. x2-4x ii. Зx-12х+1 |
Transcribed Image Text:3. (a) Why is L'Hospital's rule useful for finding the limits? Can it be used in situation? Please justify your answer? every (b) Evaluate each limit. Use L’Hospital's Rule where appropriate. x4 – 256 lim- х — 4 i. x→4 x² – 3x lim- x→3 x2 – 9 ii. b. ) Finding an interest rate: Suppose you invest J$ 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 %3D 3(b) Evaluate the following Limits i. x2-4x ii. Зx-12х+1 |
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