now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.
BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.
as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.
now, we could just use L'Hopital rule to check on that.
notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
Answer:
Step-by-step explanation:
187 divided by 7 is 6.5
Answer: P(x) = {(x-4)^2} (x) (x+4)
Step-by-step explanation:
Let's start with the multiplicity of 2;
At multiplicity of 2; x=4.
Therefore, x - 4 is a factor of the function P(x).
Since it has a multiplicity of 2, we will rewrite the factor as (x-4)^2
Now for the multiplicity of 1.
At this multiplicity of 1, x= 0 and - 4.
Therefore, the factors are x-0 and x+4
Since multiplicity of 1, the factors remain as they are without any additional root on top.
Therefore, the factors of the polynomial p(x) are (x-4)^2 and x and x+4.
And solution of P(x) in factor form will be: P(x) = {(x-4)^2} (x) (x+4)
It doesn’t represent a function, since in a function- the x values can’t repeat,
In (-13,4) and (-13,9) the x values are the same.
Answer:
3 necklaces
Step-by-step explanation:
$40.50-$30.00=$10.50 Subtract her total money and cost of dress
$10.50-$3.50=$6.00 subtract each necklace price from remaining money
$6.00-$3.50=$3.50 keep subtracting price of necklace
$3.50-$3.50=$0 that was 3 necklaces
