lesson 1 and 2

when can a limit fail to exist?

when the limit approaches a different number on both sides
how do you evaluate

lim (3x^2+4x-5)
x-2

plug in 2 where all the x's are
what do you do when substitution gives

k
___
0

the limit does not exist
what do you do when substitution gives you

0
___
0

you have to factor then plug in the limit
when the limit goes to infinity, and the degree of the top is smaller than the degree of the bottom then

its equal to 0
when the limit is infinity, and the degree of the top is same as the bottom then

make a fraction from the leading coefficients
when limit is infinity, and the degree of the top is greater than the bottom then

divide each term by the highest powerof x in the bottom and simplify
state the left & right hand limit
state the limit
- left hand limit is 2
- right hand limit is 1
- the limit does not exist b/c they dont go to the same number
when they ask to find the continuity then
- find the domain which means set it equal to 0
- if its a quotient set the denominator equal to 0
steps to finding continuity at a point

see if f(a) is defined meaning when you plug in the point it equals a real #

then find the left and right hand limit

then see if f(x)=f(a) then its continuous

Author

jillmray

68363

Card Set

lesson 1 and 2

Description

limits and one sided limits

Updated

2011-02-23T11:11:42Z