My teacher told me it was best to learn in words. can anyone help me with the correct why to write these.(adsbygoogle = window.adsbygoogle || []).push({});

Let n be positive interger, K be a constant, and f and g be function that have limits at C. then

1. lim k = k

x-> c

2. lim x= c

x-> c

3. lim kf(x) = k lim f(x)

x-> c x-> c

4. lim [ f(x) + g(x)] = lim f(x) + lim g(x)

x-> c x-> c x-> c

5. lim [ f(x) - g(x)] = lim f(x) - lim g(x)

x-> c x-> c x-> c

6. lim [ f(x) * g(x)] = lim f(x) * lim g(x)

x-> c x-> c x-> c

7. lim f(x) = lim f(x) provided that lim g(x) does not equal 0

g(x) x-> c

lim g(x)

x-> c

8.lim [ f(x)]^{n}= [ lim f(x)]^{n}

x-> c x-> c

9.lim^{n}radical f(x)=^{2}radical f(x), provided lim f(x) is less then 0

x-> c x-> c

when n is even

for example in the book they mention no. 4 as the limit of a sum is the sum of the limits. so can anyone else help me out with the others?

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# Main Limit Theorem

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