I am not pretty sure about L'hopitals Rule

First use graphical and/or numerical means to approximate the following limits. Then find the exact values, using L'hopital's rule if appropriate: 6x lim lim= x' - 8 x' - 8 lim 4 -3x-10 lim 4 I-+2 Ma x-3x-10 x - 8 sin(2x) lim o'x' -3x -10 lim- *-+0 X lim sin(2x) X lim 1-!)-Evaluate the following limits: lim x . e * = In(x -x-1) lim In(x-1) In(x - x - 1) lim 1-+2 In(x - 1) If P dollars is invested at an interest rate of r, compounded n times per year, then after t years the balance will be P (1 + =)". For example, $200 invested at 4% interest rate compounded annually would grow in 10 years to $200 (1 + 4) = $296.05. The same account with monthly compounding (12 times per year) would grow to 200 (1 + 04) 12:10 $298.17. What happens in the limit as the number of compoundings gets larger and larger? Numerically estimate the value of lim 200 (1 + 2)". Use L'hopital's rule to evaluate lim P (1+ -) . This is the general formula for the balance of an account after t years if it starts with SP and grows at a rate of / with continuous compounding