This is the link for the assignment: http://imageshack.us/f/840/assignmentsynthesisofev.jpg/
Homework Statement
Given in the link
Homework Equations
Why would the proposed synthesis be successful if the reaction stopped after 2 hrs?
How does H attack compound 2 to create compound...
Hey dick,
thanks but i think my teachers wants to do it with this formula:
abs(Rn(x)) less than or equal to (M)/(n+1)! abs(x-a)^(n+1)
I don't know what the M equals to tho
Thanks char.
I got the radius of convergence to =
lim n-> ∞ of abs( (x-2)(n+2) / (n+1) ) < 2lim n-> ∞ of (n+2)/(n+1) = 1
so
R= 2
I = (-2/2)
Just as a general rule, does the derivative of a series have the same R and I if a is the same?Thanks everyone for the help
Thanks guys =)
But how does the sum of the derivates work?
do I do d/dx (-1)^n + d/dx (x-2)^n divided by d/dx (2^(n+1))? and add them together?
Don't I get something like n (-1)^(n-1) for the first term? how does that change into the correct represataion?
Guys I got the representation to =
(-1)^n+1 (x-2)^n (1/2^(n+2)) (n+1)
Is this correct?
But I didnt use the sum of the derviates rule. I just added n+1 to first representation and multiplied it by n+1 as well
Ic okay thanks Sethric.
Can I take the dervative of the representations of the series for 1/x to find out what the represenation of the series fo -1/x^2 is?
I got the first 4 quotients to be:
(-1/4) , (1/4), -(6/32), (24/192), -(120/1536)
I noticed the denominators all divisible by 4.
Also can anyone solve this pattern 1,2,6,24,120?
Ic okay thanks Char.limit I will try to work it out and post the answer on there
Edit: so if f(x) = -1/x^2
Then the series representation will have (f(x))' somewhere in it?
Thanks sethric,
I did f(x) = -1/x^2
and i got:
(-1/4) + (1/4)(x-2) - (3/16)(x-2)^2 + (1/8)(x-2)^3 +...+
But I can't seem to find the nth pattern. Is there a formula I can plug into find it?