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This note covers the "Limit," "Squeeze Theorem," Types of Discontin...
AP Calculus Review: U2 Differentiation- the basics
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AP Calculus AB
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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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