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Mathematics
Mathematics
Problem
If
y
=
1
+
x
2
!
+
x
2
3
!
+
x
3
4
!
+
…
∞
y = 1 + \frac{x}{2!} + \frac{x^2}{3!} + \frac{x^3}{4!} + \dots \infty
y
=
1
+
2
!
x
+
3
!
x
2
+
4
!
x
3
+
…
∞
, then find the value of
d
y
d
x
\frac{dy}{dx}
d
x
d
y
.
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