- #1

hockeyfghts5

- 15

- 0

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?