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Calculus Volume 1

Key Equations

Calculus Volume 1Key Equations

Key Equations

Slope of a Secant Line msec=f(x)f(a)xamsec=f(x)f(a)xa
Average Velocity over Interval [a,t][a,t] vave=s(t)s(a)tavave=s(t)s(a)ta
Intuitive Definition of the Limit limxaf(x)=Llimxaf(x)=L
Two Important Limits limxax=alimxac=climxax=alimxac=c
One-Sided Limits limxaf(x)=Llimxa+f(x)=Llimxaf(x)=Llimxa+f(x)=L
Infinite Limits from the Left limxaf(x)=+limxaf(x)=limxaf(x)=+limxaf(x)=
Infinite Limits from the Right limxa+f(x)=+limxa+f(x)=limxa+f(x)=+limxa+f(x)=
Two-Sided Infinite Limits limxaf(x)=+:limxaf(x)=+limxaf(x)=+:limxaf(x)=+ and limxa+f(x)=+limxa+f(x)=+
limxaf(x)=:limxaf(x)=limxaf(x)=:limxaf(x)= and limxa+f(x)=limxa+f(x)=
Basic Limit Results limxax=alimxac=climxax=alimxac=c
Important Limits limθ0sinθ=0limθ0sinθ=0
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