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Timothy John Beaulieu created this post
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Properties of limits
Here is a handout on Limit properties:
Calculus I Unity College
Properties of Limits
For real numbers, a (a can also be ), c, L, and M, given that taf(t)=L, tag(t)=M, then
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Example |
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nac=c |
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tacf(t)=c taf(t)=cL |
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ta(f(t)+g(t))=taf(t)+tag(t)=L+M ta(f(t)-g(t))=taf(t)-tag(t)=L-M |
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taf(t)g(t)=taf(t)tag(t)=LM |
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taf(t)g(t)=LM, as long as M0 |
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For a natural number, m, tamf(t)=mL, as long asmf(t) and mL are defined for all t and ta(f(t))m=Lm, for any integer, m |
WARNING! CAREFUL OF INDETERMINATE FORMS, like - and , 00!
Note: -0 and 1!!!!!!
Special sequences (KNOW these!):
n(1/n) = 0 , n(e-n) = 0
Timothy John Beaulieu onto Limits
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