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 degrees (clockwise). Then the corresponding Mclaurin series of transformed g(x) is?

• 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)=\(g(0)-\sum_{n=1}^{\infty}\frac{x^n \times f^{(1)}(n)}{n!}+(e^x-1)\)
• E. . Then the corresponding Mclaurin series of transformed g(x) is?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)=\(g(0)-\sum_{n=1}^{\infty}\frac{x^n \times f^{(1)}(n)}{n!}+(e^x-1)\)