omniscience
Member
- Joined
- Aug 28, 2008
- Messages
- 279
- Gender
- Undisclosed
- HSC
- N/A
1. Find the sum of the geometric series 1-t^2+t^4-t^6+...+t^(4n) and hence show that for 0<T<X,< b>
1/(1+t^2) < 1-t^2+t^4-t^6+...+t^(4n)
2. Find 1-t^2 + t^4 - t^6 + ...+ t^(4n) - t^(4n+2) and hnce show that for 0 < t < x
1-t^2+t^4-t^6 + ...+ t^(4n) < 1/(1+t^2) + t^(4n+2)
Help me with these questions.
edit: dw, got them.
Can anyone help me with these then?
int (1/(sqrt(x)*(1+x))) dx
AND int (1/(e^(-x) + e^x)) dx
Use the inverse chain rule to find the answer
1/(1+t^2) < 1-t^2+t^4-t^6+...+t^(4n)
2. Find 1-t^2 + t^4 - t^6 + ...+ t^(4n) - t^(4n+2) and hnce show that for 0 < t < x
1-t^2+t^4-t^6 + ...+ t^(4n) < 1/(1+t^2) + t^(4n+2)
Help me with these questions.
edit: dw, got them.
Can anyone help me with these then?
int (1/(sqrt(x)*(1+x))) dx
AND int (1/(e^(-x) + e^x)) dx
Use the inverse chain rule to find the answer
Last edited: