Series notation like x raise 1 x raise 2
What do you need help with?
Answer:
Q4: 8; -2; Q5: {7;4;1}.
Step-by-step explanation:
for more details see the attached picture, the answers are marked with red and green colours.
Note, the suggested solutions are not the only way.
1. has a horizontal asymptote at
This means that
(for at least one of these limits)
2. has a vertical asymptote at
This means that has a non-removable discontinuity at . Since is some rational function, there must be a factor of in its denominator.
3. has an -intercept at (1, 0)
This means .
(a) With
the second point above suggests . The first point tells us that
In order for the limit to be 0, the denominator's degree should exceed the numerator's degree; the only way for this to happen is if so that the linear terms vanish.
The third point tells us that
So
(b) Since
we find that , and and .
Let the bigger no. = x+48
smaller no. = x
5x = x + 56
4x = 56
x = 14
x + 48 = 62
Check :
62-14= 48
5×14= 70 is equal to 62+8=70
Ans : 14 and 62