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
Xelga [282]
3 years ago
12

What is lim x → 0 e^2x - 1/ e^x - 1

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Hello, please consider the following.

\displaystyle \forall x \in \mathbb{R}\\\\\dfrac{e^{2x}-1}{e^x-1}\\\\=\dfrac{(e^x)^2-1^2}{e^x-1}\\\\=\dfrac{(e^x-1)(e^x+1)}{e^x-1}\\\\=e^x+1\\\\\text{So, we can find the limit.}\\\\\lim_{x\rightarrow 0} \ {\dfrac{e^{2x}-1}{e^x-1}}\\\\=\lim_{x\rightarrow 0} \ {e^x+1}\\\\=e^0+1\\\\\large \boxed{\sf \bf \ =2 \ }

Thank you

You might be interested in
Find the scale factor
RSB [31]

Answer:

3

Step-by-step explanation:

4*3=12

3*3=9

5*3=15

So you find the number that can be multiplied or divided by each side the same to get the new number

5 0
2 years ago
Read 2 more answers
The length of a field in yards is a function f( n ) of the the length in n feet. Write a function rule for this situation.
Phantasy [73]

Answer:

f(n)=\frac{1}{3}n

Step-by-step explanation:

To convert from feet to yards, divide by the value 3.

4 0
2 years ago
What is the slope of a horizontal line
Step2247 [10]

Answer:

0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The three side lengths of four triangles are given. Which triangle is a right triangle?
-Dominant- [34]

Answer:

1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me on my homework
Irina-Kira [14]

the correct answer is $948

6 0
2 years ago
Other questions:
  • At a local school supply store, a highlighter costs $1.25, a ballpoint pen costs $0.80, and a spiral notebook costs $2.75. Expla
    13·1 answer
  • A cylinder has a base diameter of 20 meters and a height of 10 meters. What is it’s volume in cubic meters, to the nearest tenth
    13·1 answer
  • Distance between -3,2 and 9,-3
    13·1 answer
  • What is the table for Y=x-2
    11·1 answer
  • ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
    12·1 answer
  • Player 1
    6·1 answer
  • ___Pb + ___ H3PO4 → __ H2 + ___Pb3(PO4)
    5·1 answer
  • 504-288<br> whats the answer pls?
    12·1 answer
  • 7 Each day from Monday to Friday, Enrico uses a rideshare scooter to
    11·1 answer
  • What is 1/2 x 9/10ths
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!