1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uysha [10]
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
Mathematics
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
Please answer this question for me
Paul [167]

I GOT THIS ANSWER

IS THIS RIGHT?

8 0
3 years ago
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours
Arada [10]

Answer:

The number of bacteria at initial = 187

Step-by-step explanation:

Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.

\frac{dN}{dt} = k N

\frac{dN}{N}  = k dt

Integrating both side we get

㏑ N = k t + C ------- (1)

Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.

⇒ ㏑ 500 = 3 k + C -------- (2)

⇒ ㏑ 5000 = 10 k + C ------ (3)

⇒ ㏑ 5000 -  ㏑ 500 = 7 k

⇒ ㏑\frac{5000}{500} = 7 k

⇒  ㏑ 10 = 7 k

⇒ k = 0.329

Put this value of k in equation (2),

⇒ ㏑ 500 = 3 × 0.329 + C

⇒ C = 5.23

Put this value of C in equation 1 we get,

⇒ ㏑ N = k t + 5.23

Initially when t = 0 , then

⇒ ㏑ N = 5.23

⇒ N =  187

Thus the number of bacteria at initial = 187

8 0
3 years ago
Can some help me with this problem
Y_Kistochka [10]

Answer:

580

Step-by-step explanation:

4*100=400

4*40=160

4*5=20

add them all up, you get 580

7 0
3 years ago
Read 2 more answers
There are 475 students and teachers going on a field trip a school bus holds 78 people how many buses are needed for the trip
kap26 [50]
7 is the answer, you have to divide 475 by 78 and you get 6.08974358974359 but you round it up to 7 to make sure you have enough buses
7 0
3 years ago
For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bou
garik1379 [7]
There should be 26 tickets left.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help!! on question 13, solve each equation for x.
    7·1 answer
  • Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
    12·1 answer
  • Express 6/25 as a decimal fracture​
    15·2 answers
  • Please I need help with that one ???
    15·1 answer
  • Watch help video
    10·1 answer
  • Martha works on a farm. She can pick 122 pounds of strawberries a day. She gets
    5·1 answer
  • What is 25=10+w. I need it ASAP ROCKY
    8·1 answer
  • What is 25.0996 rounded to the nearest thousandth
    8·1 answer
  • A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers s
    13·2 answers
  • Party Sweets makes baked goods that can be
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!