f(1) (n) = g(n) (0) holds good for some functions f(x) and g(x). Now let the coordinate axes containing graph g(x) be rotated by 30 degrees clockwise, then the corresponding Taylor series for the transformed g(x) is?

Question

TuteeHUB · Accepted Answer

(g(0) +   frac{g^{(1)}.x}{1!} +   frac{g^{(2)}(1).x^2}{2!}+   infty  )

TuteeHUB · Answer

g(0)+  (  frac{e^x   1}{  sqrt{3}}+  frac{  sum_{n=1}^  infty f^{(1)}(n)x^n}{n!}  )

TuteeHUB · Answer

(g(0) +   frac{g^{(1)}.x}{1!} +   frac{g^{(2)}(1).x^2}{2!}+   infty  )

TuteeHUB · Answer

No unique answer exist

TuteeHUB · Answer

Such function is not continuous

1.	f⁽¹⁾ (n) = g⁽ⁿ⁾ (0) holds good for some functions f(x) and g(x). Now let the coordinate axes containing graph g(x) be rotated by 30 degrees clockwise, then the corresponding Taylor series for the transformed g(x) is?
A.	g(0)+ ( frac{e^x 1}{ sqrt{3}}+ frac{ sum_{n=1}^ infty f^{(1)}(n)x^n}{n!} )
B.	(g(0) + frac{g^{(1)}.x}{1!} + frac{g^{(2)}(1).x^2}{2!}+ infty )
C.	No unique answer exist
D.	Such function is not continuous
Answer» B. (g(0) + frac{g^{(1)}.x}{1!} + frac{g^{(2)}(1).x^2}{2!}+ infty )

f⁽¹⁾ (n) = g⁽ⁿ⁾ (0) holds good for some functions f(x) and g(x). Now let the coordinate axes containing graph g(x) be rotated by 30 degrees clockwise, then the corresponding Taylor series for the transformed g(x) is?

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