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

Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro

umka21 [38]

$|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%$

8 0

3 years ago

Read 2 more answers

Sleeping in the Forest Guiding Questions

pshichka [43]

Answer:

wrong❌❌

question

wrong❌❌

question

3 0

2 years ago

A construction crew has just built a new road. They built 156.25 kilometers of road at a rate of 5 kilometers per week. How many

daser333 [38]

Answer:

31 and a quarter week (31.25)

Step-by-step explanation:

First find the rate. There is no need to do cross multiplication because it's already a unit rate (per 1 week).

2. Divide

156.25 / 5 = 31.25

3. Answer

31.25 weeks

6 0

3 years ago

2.35is equivalent too

rosijanka [135]

2.35 is equivalent to 235%

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5%5E%7B-2%7D" id="TexFormula1" title="5^{-2}" alt="5^{-2}" align="absmiddle" class="latex-form

nirvana33 [79]

Answer:

0.08

Step-by-step explanation:

5^-2 is equal to 1/25 or 0.04.

Cube root of 8 is 2.

3 0

3 years ago