YehiaMedhat
Junior Member
- Joined
- Oct 9, 2022
- Messages
- 74
[math]f(x)=cos(x+1)[/math] The coefficient of the [imath]x^{10}[/imath] in Maclaurine expansion of [imath]f(x)[/imath] is:
Well this is the question, but, the answer, as in the model answer, is [imath]-\frac{cos(1)}{10!}[/imath]
But wouldn't the sequence of coefficients be like this:
[math]cos(1)\rightarrow -sin(1)\rightarrow -cos(1)\rightarrow sin(1)\rightarrow cos(1)\rightarrow -sin(1)\rightarrow -cos(1)\rightarrow sin(1)\rightarrow cos(1)\rightarrow -sin(1)[/math]Well, So how the answer appears to be something else what is wrong with my steps?
Well this is the question, but, the answer, as in the model answer, is [imath]-\frac{cos(1)}{10!}[/imath]
But wouldn't the sequence of coefficients be like this:
[math]cos(1)\rightarrow -sin(1)\rightarrow -cos(1)\rightarrow sin(1)\rightarrow cos(1)\rightarrow -sin(1)\rightarrow -cos(1)\rightarrow sin(1)\rightarrow cos(1)\rightarrow -sin(1)[/math]Well, So how the answer appears to be something else what is wrong with my steps?
