Find limit. Please answer

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                            

Limit Rule [Variable Direct Substitution]:                                                            

Limit Property [Addition/Subtraction]:                                                                  

L'Hopital's Rule

Differentiation

Basic Power Rule:

Step-by-step explanation:

We are given the following limit:

Substituting in x = 2 using the limit rule, we have:

Evaluating the result, we get an indeterminate form:

Since we have an indeterminate form, let's apply L'Hopital's Rule. Differentiate both the numerator and denominator respectively:

Simplify:

Evaluate the limit using the limit rule:

Simplify:

And we have our answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.