Use the squeeze theorem; if
1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,
then taking the limit on each part as <em>x</em> approaches 0 gives
1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1
and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.
Answer:
∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.
∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.
∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.
Step-by-step explanation:
Answer:
42.3
Step-by-step explanation:
- Substitute in values

Question:
The recursive function
,
represents the nth term of a sequence. Determine the explicit function
Answer:

Step-by-step explanation:
Given


Required
Write an explicit formula
Let n = 1



Let n = 2



Let n =3



Let n = 4



So, we have:

Following the above pattern:


Open bracket



Answer:
$1200.
Step-by-step explanation:
We have been given that Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.
First of all we will find the number of subscribers for this month.


Now let us multiply number of total subscribers of this month by 10 to find the amount Kiersten will earn by her online business.


Therefore, Kiersten will earn $1200 this month by her online business.