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

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it