please help me to solve that:confused:
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please help me to solve that:confused:
Well for Qn 2 its quite stright forward
Just change all the x into (1)
then you will get
= 2.(1)²
= 2. (1) < (1)² = 1 hence it is = 2
[QUOTE=ThePerfectHacker;25185]Question 1, Use the standard rationalization trick,
The function,
And,
Agree for sufficiently large , thus the limits are the same.
Working with the second function we find,
Thus,
For suffiently large, i.e., we factor,
Factor again,
Thus,
Now,
limit compositions rule,
Thus, by limit composition rule again,
Hello, m777!
A slightly different approach to #1 . . .
Quote:
Multiply top and bottom by
. .
Divide top and bottom by
Take the limit: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Quote:
Did you make a sketch?Code:
 (a,2a)
 o * * * * * *
 *
 *
 * *(a,a)
*

++ 
 a
Rather obvious that it's discontinuous at , isn't it?
Is a function that is only defined for a single point continuous?
Dan
Dear,
soroban.
In question no three i make a sketch of it.yes it is discontinuous at x=a.
many best wishes for you
from
m777