# Two-Sided Limits, Squeeze Theorem, and L'Hopital's Rule

Studied by 13 people
0.0(0)
get a hint
hint

Can you skip steps if the function is always continuous?

1 / 19

### There's no tags or description

Looks like no one added any tags here yet for you.

### 20 Terms

1

Can you skip steps if the function is always continuous?

Yes

New cards
2

Can you skip steps if the function has a removable discontinuity at the limit?

Yes

New cards
3

Can you skip steps if the function is piecewise and non-continuous at the limit (but is not a removable discontinuity)?

No

New cards
4

sin(x)/x

1

New cards
5

(1-cos(x))/x

0

New cards
6

What does the Squeeze Theorem state?

If f(x) and g(x) are squeezed by h(x) at a point and both approach the same limit 'L' at that point, then h(x) also approaches 'L'.

New cards
7

Which limits do you need to know to use the Squeeze Theorem?

Both outer functions

New cards
8

Is 1/1 an indeterminate form?

No

New cards
9

Is 0/0 an indeterminate form?

Yes

New cards
10

Is ∞/∞ an indeterminate form?

Yes

New cards
11

Is 0/∞ an indeterminate form?

No

New cards
12

What rule must be used when the normal finding of a limit produces an indeterminate form?

L’Hospital’s Rule

New cards
13

What do you take the derivative of in L’Hospital’s Rule?

Both the numerator and denominator (separately)

New cards
14

What needs to be written before using L’Hospital’s Rule?

“This limit produces the indeterminate form…”

New cards
15

Can you use L’Hospital’s Rule multiple times as long as you want?

No

New cards
16

Can you use L’Hospital’s Rule multiple times until the indeterminate form is gone?

Yes

New cards
17

Can you use L’Hospital’s Rule without an indeterminate form?

No

New cards
18

What is a good method for finding limits with radicals?

Rationalize denominator using conjugate pair

New cards
19

What is a good method for finding limits with polynomials?

Factoring

New cards
20

What is a good method for finding limits with a squared trigonometric function?

Replace it using cos²(x)+sin²(x)=1

New cards

## Explore top notes

Note
Studied by 55 people
Updated ... ago
4.0 Stars(1)
Note
Studied by 51 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 90 people
Updated ... ago
5.0 Stars(2)
Note
Studied by 35 people
Updated ... ago
4.0 Stars(1)
Note
Studied by 60 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 9 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 10 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 1981 people
Updated ... ago
4.9 Stars(8)

## Explore top flashcards

Flashcard22 terms
Studied by 9 people
Updated ... ago
5.0 Stars(1)
Flashcard63 terms
Studied by 44 people
Updated ... ago
5.0 Stars(1)
Flashcard61 terms
Studied by 4 people
Updated ... ago
5.0 Stars(1)
Flashcard212 terms
Studied by 217 people
Updated ... ago
5.0 Stars(8)
Flashcard199 terms
Studied by 3 people
Updated ... ago
5.0 Stars(1)
Flashcard53 terms
Studied by 77 people
Updated ... ago
4.1 Stars(7)
Flashcard32 terms
Studied by 6 people
Updated ... ago
5.0 Stars(2)
Flashcard52 terms
Studied by 14 people
Updated ... ago
5.0 Stars(1)