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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 mπ₯β 0
5 π₯π₯
limπ₯β 1
π₯2+5 π₯+6π₯+1
limπ₯ββ3
π₯+1π₯2+6π₯+9
Calculate each limit:
li mπ₯β 2
π₯3β2 π₯2+5π₯β10π₯β2
If f(x) =
Calculate each limit:
li mhβ0
2 (π₯+h )β5β(2π₯β5)h
limπ₯β 0
sin (2π₯)π₯
CALCULATE THE LIMITS IF
limπ₯β 2
π (π₯)=7πππ limπ₯β2
π (π₯ )=3
limπ₯β2
π (π₯) βπ(π₯)
limπ₯β 2
4 π (π₯)
limπ₯β2
π (π₯)+2
CALCULATE THE LIMITS
limπ₯β4β
2π₯β4
limπ₯ββ
2π₯β4
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
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