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Level 552

Limits, Continuity, Derivatives


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indeterminate values
0/0, ∞⁰, ∞/∞,1^∞
L+M
Let lim x→c f(x)=L, lim x→c g(x)=M
kL
Let lim x→c f(x)=L, lim x→c g(x)=M
LM
Let lim x→c f(x)=L, lim x→c g(x)=M
L/M
Let lim x→c f(x)=L, lim x→c g(x)=M
Lⁿ
Let lim x→c f(x)=L, lim x→c g(x)=M
f(L)
Let lim x→c g(x) = L and lim x→c f(x) = f(L)
lim x→c (sinx)=sinc
Trig function limits rule
lim x→0 (sinx/x)=1
Special limit involving sine
lim x→0 [(1-cosx)/x]=0
Special limit involving cosine
asymptotic, jump, hole
Three types of discontinuity
limit
The unique value that a function approaches as x-values of the function approach c from the left and right sides
y=0, x-axis
Assume R(x)=p(x)/q(x)
Assume R(x)=p(x)/q(x)
divide coefficients of highest terms