We are asked to determine the limits of the function cos(2x) / x as x approaches to zero. In this case, we first substitute zero to x resulting to 1/0. A number, any number divided by zero is always equal to infinity, Hence there are no limits to this function.
Answer:
The y-value (output) is equal to 1
Step-by-step explanation:
f(x) = 1
f(x) takes the place of y, so this could be rewritten as
y = 1
Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².
Answer:
80
Step-by-step explanation:
17+13=30
22+23+5=50
30+50=80
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.


is in the numerator. It is defined for every value of x. There is no problem there.

is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.



For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is: