Artificial intelligent assistant

Just solution check- Taylor serie around $x_0=2$ I have this solution (I hope it's ok to post picture instead writing in Latex), and I just need someone to check if this is ok precedure for finding serie around point $x_0=2$? \- ![](

Answer is correct (doing this just to close question from more answers and views)

xcX3v84RxoQ-4GxG32940ukFUIEgYdPy 66325fd7f1aa4ec7976e78d0d9930fe3