Question 122509: Do you think you could help me find these limits? Really appreciate your help, in advance.
Thank you so much!
X + 1
lim =
x→ -1 x^ – 1
--------------------------------
lim 3 =
x→ 0
---------------------------------------
( x
lim =
x→0 ( 2
Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website! Do you think you could help me find these limits?
Really appreciate your help, in advance.
Thank you so much!
lim (x+1) =
x -> -1
We think of substituting for x numbers which are
very NEAR to -1 into (x+1).
Since when we substitute the number -1 into (x+1),
we get (-1+1) or 0, not .
So we can reason that when we substitute numbers very
close to, but not quite equal to -1 into (x+1), we
will get numbers very close to, but not quite equal,
to 0. So 0 is the limiting value, so we say
lim (x+1) =
x -> -1
--------------------------------
lim 3 =
x->0
Since "3" contains no values of x, we add 0x
to 3 and get
lim (3+0x) =
x->0
We think of substituting for x numbers which are
very NEAR to 0 into (3+0x).
Since when we substitute the number 0 into (3+0x),
we get (3+0) or 3, which is not .
So we can reason that when we substitute numbers very
close to, but not quite equal to 0 into (3+0x), we
will get numbers very close to, but not quite equal,
to 0. So 0 is the limiting value, so we say
lim 3 = 3
x -> 0
For other problems when the function is just a constant
we know that any limit of it are just that constant.
---------------------------------------
I can't make that one out. Sorry. Repost it.
( x
lim =
x→0 ( 2
Edwin
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