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AP Calculus Review: U1 Limits and Continuity CA$6.46   Add to cart
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AP Calculus Review: U1 Limits and Continuity
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  • Course
  • AP Calculus AB
  • Institution
  • Book
  • Calculus: Early Transcendentals

QUALITY GUARANTEED!!! Must check this note before taking the AP calculus exam! The writer got 5s on all AP exams he took including economics, calculus, physics, and more! And all of his secrets are hiding inside this note. This note covers the "Limit," "Squeeze Theorem," Types of Discontin...

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  • July 17, 2022
  • 7
  • 2021/2022
  • Interview
  • Unknown
  • Unknown

Subjects

  • calculus
  • math
  • ap calculus
  • ap cal
  • cal
  • cal ab
  • ap cal ab
  • calculus ab

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  • AP Calculus AB
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Content preview

III fix finding Yvalue while getting infinitelyclose to
Ifnlime x value
desired




muse be the same fromBOTHSIDES otherwise DNE

There's unbounded limits approach sametypes ofinfinityfrom bothsides
Eg
Is
Sometimes viewed as DNE

y DNE approaches diff infinity

Sometimes
limit valueequals the function value
But Sometimes the limit value t the function value
Function undefined at some x value I limitDNE

Limit Properties

Directsubstitution can be used
I f is continuous at Xia iff Ipatix Fca
5 1494645 1 6412 511 1 0

Isasin x sinca
IyaCosa cosCa


Limitsof piecewise functions AbsoluteValue
Es fix 151 fix I L I
Istext I
Estfix I
ht
Offtox DNE IIctix L Ifctext Ii fix L

, Determining limits using algebraic manipulation

Limits byfactoring
X 2
Esfix II MEET 43 x 2 or fix undefined x 2


Limits byrationalizing


fix Its 2
fix gu forall x I
N
YECIs121 4




Using Pythagorean Identity




Using Double Angle Identity

sin20 25in cos0
cos20 6520 sin20 2650 I L 25in20
tan20 YET

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