A) y
B) \[y+\frac{{{x}^{n}}}{n!}\]
C) \[y-\frac{{{x}^{n}}}{n!}\]
D) \[y-1-\frac{{{x}^{n}}}{n!}\]
Correct Answer: C
Solution :
[c] \[y=1+x+\frac{{{x}^{2}}}{2!}+\frac{{{x}^{3}}}{3!}+...+\frac{{{x}^{n}}}{n!}\] Or \[\frac{dy}{dx}=0+1+x+\frac{{{x}^{2}}}{2!}+...+\frac{{{x}^{n-1}}}{(n-1)!}\] Or \[\frac{dy}{dx}+\frac{{{x}^{n}}}{n!}=1+x+\frac{{{x}^{2}}}{2!}+...+\frac{{{x}^{n}}}{n!}\] Or \[\frac{dy}{dx}=y-\frac{{{x}^{n}}}{n!}\]You need to login to perform this action.
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