3B Limit Theorems

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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