Ask question

Ask question

All categories

3 years ago

12

Suppose f and g are two functions defined on some neighbourhood of c such that lim f(x)=l and lim g(x)=m.Show that lim f(x)+g(x)

=l+m

1 answer:

zavuch27 [327]3 years ago

7 0

Trivial if you use limit laws.

$\lim f(x) + g(x) = \lim f(x) + \lim g(x) = l + m$

You might be interested in

Marvin is buying a watch from his brother

I am Lyosha [343]

Answer:

$30 down

and 10 installments of $10 each

Step-by-step explanation:

paying $30 down means the left price to divide into installments is : 130-30 = 100

since he will pay the rest in equal installments, we divide by the number of installments to get how much each one will be :

100/10 = $10

3 0

3 years ago

Emily spent 1/2 of her money at the grocery store.Then, she spent 1/2 of what was left at the bakery. Next, at the music store,

Artist 52 [7]

I believe the answer is $48 because 6 * 2 is 12 and 12 * 2 is 24 and 24 * 2 is 48, thus 48$. Please feel free to check my work, though.

4 0

3 years ago

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

coldgirl [10]

All you have to do is make the fraction of it which is 4/30. Then simplify to 2/15 which is your answer.

4 0

1 year ago

Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and

Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

$P_L = Vt + A$

Where t, is a real number, and $P_L$ is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

$P_L = (0,0,1) t + (-4, 0.5, 5)$

The equations for each coordinate are:

$x = -4\\y = 0.5\\z = 5 + t$

7 0

2 years ago

What two numbers have 2,3,5 as factors

lukranit [14]

Two numbers with factors 2,3,5 are 30 and 60.
when we multiply 2 x 3 x 5 = 30
we get answer 30 and then again multiply with the number that is greater than 1 is 2 and then we get 2 x 2 x 3 x 5 = 60
So the first two numbers with factors 2, 3 and 5 are 30 and 60.

4 0

2 years ago