Find the limit. lim θ→0 cos(8θ) − 1 / sin(3θ)

General Formulas and Concepts:

Pre-Calculus

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                            

Special Limit Rule [L’Hopital’s Rule]:                                                                    

Step-by-step explanation:

We are given the limit:

If we evaluate the limit how it is using limit rules, we get:

We see we have an indeterminate form, so let's use L'Hopital's Rule:

Evaluating the new limit using limit rules, we get:

Which simplifies to:

And we have our answer.

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

Unit: Limits

b.-4 units

all you   do is count how many times you move

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8