Let f(1) (n) = g(n) (0) for some functions f(x) and g(x). Now let the coordinate axes having graph f(x) be rotated by 45
Posted: Thu Jul 14, 2022 9:27 am
a) g(x)=g(0)+(ex-1)+f(x)-f(0)
b) τ(f(x+tan(45)))=τ45(g(x))
c) g(x)=g(0)+g(1)(0).\(\frac{x}{1!}+g^{(2)}(0).\frac{x^2}{2!}+…\infty\)
d) g(x)=\(g(0)-\sum_{n=1}^{\infty}\frac{x^n \times f^{(1)}(n)}{n!}+(e^x-1)\)
b) τ(f(x+tan(45)))=τ45(g(x))
c) g(x)=g(0)+g(1)(0).\(\frac{x}{1!}+g^{(2)}(0).\frac{x^2}{2!}+…\infty\)
d) g(x)=\(g(0)-\sum_{n=1}^{\infty}\frac{x^n \times f^{(1)}(n)}{n!}+(e^x-1)\)