calculus: 3 ~ limit theorems - the university of utah · pdf file3b limit theorems 4...
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3B Limit Theorems
1
Calculus: 3 ~ Limit Theorems
f(x)=x2
g(x)=4-2x
3B Limit Theorems
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Limit Theorems is a positive integer.
is a real number
have limits as x → c
3B Limit Theorems
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EX 1
EX 2
EX 3If
find
3B Limit Theorems
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Substitution Theorem
If f(x) is a polynomial or a rational function, then
assuming f(c) is defined.
Ex 4
Ex 5
3B Limit Theorems
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EX 6 Hint: rationalize the numerator.
3B Limit Theorems
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f(x)=x2
g(x)=4-2xf(x) - g(x) =x2+2x-4
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