Ask
your own question, for FREE!

Mathematics

OpenStudy (anonymous):

x+1=e^x the question is solve?

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

You can't solve this problem exactly. You can do 2 things (1) guess the solution. (2) use numerical approximation. (3) graph x+1 and e^x and find where the 2 curves intersect. It happens that's this equation is simple to solve by guessing.

OpenStudy (anonymous):

OpenStudy (anonymous):

as an infinite sum: e^x = 1 + x + (1/2!)*x^2 + (1/3!)*x^3 + .... x + 1 = 1 + x + (1/2!)*x^2 + (1/3!)*x^3 + ... 0 = (1/2!)*x^2 + (1/3!)*x^3 + .... x^2 * ( (1/2!) + (1/3!)*x + (1/4!)*x^2 + ...) = 0 Giving x = 0, using Newton Method we get: x(n+1) = x(n) -1 + x(n) / (e^x(n) -1) from which we might be able to form a proof that x =0 is the only solution

OpenStudy (anonymous):

As uweddie said, graph them and see where they intersect.

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

urmum:
Do seasons in the Southern and Northern Hemispheres occur during the same times of the year.

2 minutes ago
7 Replies
1 Medal

jbbenedict:
The cost of hiring a catering service to serve for a party is 150php per head for 20 persons or less.

2 minutes ago
10 Replies
1 Medal

dukedadon:
What is the maximum prison punishment for murdering someone with an unregistered firearm? Explain your answer.

7 minutes ago
8 Replies
0 Medals

dukedadon:
what is the name of the amendment that allows you to carry a registered firearm?

11 minutes ago
9 Replies
2 Medals

jonahcam1347:
if u have a right triangle and the legs of the triangle r 5in, 7in, what is the l

1 minute ago
7 Replies
0 Medals

dukedadon:
The line segment is reflected about the x-axis to form Eu2032Fu2032. Which statem

32 minutes ago
12 Replies
0 Medals

jbbenedict:
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly.

22 minutes ago
7 Replies
1 Medal