L'Hopital Rule: Suppose you deposit $1000 in a savings account that is earning ...

CalcStudent2

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Using L'Hopitals Rule, how would you solve this?

Suppose you deposit $1000 in a savings account that is earning interest at 6% compounded n times a year.

  • Write the equation for A(t).
  • Find the limit of this equation as n approaches infinity.
Note: Treat t as a constant, because it is n that varies as you find the limit.

Thank You!!!

 
Using L'Hopitals Rule, how would you solve this?

Suppose you deposit $1000 in a savings account that is earning interest at 6% compounded n times a year.

  • Write the equation for A(t).
  • Find the limit of this equation as n approaches infinity.
Note: Treat t as a constant, because it is n that varies as you find the limit.

Thank You!!!

What are your thoughts?

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Using L'Hopitals Rule, how would you solve this?
On what basis are you thinking that l'Hospital's Rule is relevant? (It isn't mentioned in the exercise, is why I ask.)

Suppose you deposit $1000 in a savings account that is earning interest at 6% compounded n times a year.

a. Write the equation for A(t).
This is just algebra. Use the compound-interest formula you memorized back then. Where are you stuck in this process?

Please be complete. Thank you! ;)
 
Using L'Hopitals Rule, how would you solve this?

Suppose you deposit $1000 in a savings account that is earning interest at 6% compounded n times a year.

  • Write the equation for A(t).
  • Find the limit of this equation as n approaches infinity.
Note: Treat t as a constant, because it is n that varies as you find the limit.

Thank You!!!

As a hint. If lim ln(A) = b, then lim A = eb
 
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