- #1
Find the extreme values of the function
- #2
BvU
Science Advisor
Homework Helper
- 16,208
- 4,925
Hello Julian, welome to PF 
!
My neck hurts, can't read it, but it seems you work out another excercise than the one you cut and paste in the problem statement.
If you type it, we'll read it.
!My neck hurts, can't read it, but it seems you work out another excercise than the one you cut and paste in the problem statement.
If you type it, we'll read it.
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Hello,
This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread.
Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).
Similar threads
Hot Threads
-
Prove that the integral is equal to ##\pi^2/8##
- Started by Meden Agan
- Replies: 96
- Calculus and Beyond Homework Help
-
Solving the wave equation with piecewise initial conditions
- Started by songoku
- Replies: 11
- Calculus and Beyond Homework Help
-
Area of loop in x-y plane
- Started by littlemathquark
- Replies: 20
- Calculus and Beyond Homework Help
-
Solve this problem that involves induction
- Started by chwala
- Replies: 7
- Calculus and Beyond Homework Help
Recent Insights
-
Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect
- Started by Greg Bernhardt
- Replies: 7
- Quantum Physics
-
Insights What Exactly is Dirac’s Delta Function? - Insight
- Started by Greg Bernhardt
- Replies: 0
- General Math
-
Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight
- Started by Greg Bernhardt
- Replies: 1
- Special and General Relativity
-
Insights Fixing Things Which Can Go Wrong With Complex Numbers
- Started by PAllen
- Replies: 7
- General Math
-
Insights Fermat's Last Theorem
- Started by fresh_42
- Replies: 91
- General Math
-
Insights Why Vector Spaces Explain The World: A Historical Perspective
- Started by fresh_42
- Replies: 0
- General Math