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1

Can you skip steps if the function is always continuous?

Yes

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2

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

Yes

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3

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

No

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4

sin(x)/x

1

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5

(1-cos(x))/x

0

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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'.

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7

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

Both outer functions

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8

Is 1/1 an indeterminate form?

No

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9

Is 0/0 an indeterminate form?

Yes

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10

Is ∞/∞ an indeterminate form?

Yes

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11

Is 0/∞ an indeterminate form?

No

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12

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

L’Hospital’s Rule

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13

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

Both the numerator and denominator (separately)

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14

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

“This limit produces the indeterminate form…”

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15

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

No

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16

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

Yes

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17

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

No

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18

What is a good method for finding limits with radicals?

Rationalize denominator using conjugate pair

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19

What is a good method for finding limits with polynomials?

Factoring

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20

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

Replace it using cos²(x)+sin²(x)=1

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