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Limit Laws and Common Limits
(See Title)
10
Mathematics
12th Grade
03/15/2013

Additional Mathematics Flashcards

 


 

Cards

Term

        Lim n(n!)(-1/n)

n→∞

Definition
e
Term

lim a

x→t

 

Definition
= a
Term

lim x

x→c

Definition
= c
Term

         lim c f(x)

         x→a

Definition

       c lim f(x)

          x→a

Term

      Lim [f(x) + g(x)]

      x→a

where the limit as x→a of f(x) and the limit as x→a of g(x) both exist

          


 

Definition

= Lim f(x) + Lim g(x)

   x→a         x→a

Term

Lim [f(x) - g(x)]

   x→a

where the limit as x→a of f(x) and the limit as x→a of g(x) both exist

Definition

= Lim f(x) - Lim g(x)

  x→a         x→a

Term

Lim [f(x)•g(x)]

   x→a

where the limit as x→a of f(x) and the limit as x→a of g(x) both exist

Definition

= Lim f(x)•Lim g(x)

  x→a       x→a

Term

If f(x) is continuous at b and the limit as x→a of g(x)=b, then...

the limit as x→a f(g(x))

Definition
= f(b)
Term

Lim (ax+b)

        x→c

Definition
= ac+b
Term

Lim x(-1)

          x→0

Definition
= ∞
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