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limits review. AP Calculus. Calculate each limit:. Calculate each limit:. If f(x) = . Calculate each limit:. Calculate the limits if. Calculate the limits. Calculate the limit:. g(x) = =. Given:. f(x) = Solve for k such that f is continuous. - PowerPoint PPT Presentation
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LIMITS REVIEW
AP Calculus
Calculate each limit:
li m𝑥→ 0
5 𝑥𝑥
lim𝑥→ 1
𝑥2+5 𝑥+6𝑥+1
lim𝑥→−3
𝑥+1𝑥2+6𝑥+9
Calculate each limit:
li m𝑥→ 2
𝑥3−2 𝑥2+5𝑥−10𝑥−2
If f(x) =
Calculate each limit:
li mh→0
2 (𝑥+h )−5−(2𝑥−5)h
lim𝑥→ 0
sin (2𝑥)𝑥
CALCULATE THE LIMITS IF
lim𝑥→ 2
𝑓 (𝑥)=7𝑎𝑛𝑑 lim𝑥→2
𝑔 (𝑥 )=3
lim𝑥→2
𝑓 (𝑥) ∙𝑔(𝑥)
lim𝑥→ 2
4 𝑓 (𝑥)
lim𝑥→2
𝑔 (𝑥)+2
CALCULATE THE LIMITS
lim𝑥→4−
2𝑥−4
lim𝑥→∞
2𝑥−4
Calculate the limit:
g(x) =
=
Given:
f(x) =
Solve for k such that f is continuous.
Sketch a graph that is discontinuous at x = 3, but approaches a limit of 5 as x approaches 3.
Sketch a function f such that and
Given find the value of x in the interval[4, 7] guaranteed by the Intermediate Value Theoremsuch that y = 10. Round to the nearest thousandth.
INTERMEDIATE VALUE THEOREM
Vertical Asymptotes
Vertical Asymptotes
If h(x) =2limit, L, of h as x approaches 2.
Now find such that if , h is within units of L as x approaches 2.
Epsilon-Delta