How can these problems be worked out?
1) lim as x goes to 0 of (1/x - 1/sinx)
2) find the 1st 4 derivatives of y= ln(1+sinx) and the Mclaurin series up to the term containing x^4
I know some calculus, but I need help with this. Thank you.
How can these problems be worked out?
1) lim as x goes to 0 of (1/x - 1/sinx)
2) find the 1st 4 derivatives of y= ln(1+sinx) and the Mclaurin series up to the term containing x^4
I know some calculus, but I need help with this. Thank you.
.
Assume that can be written as a polynomial. Then
.
By letting , we can see that .
Differentiate both sides:
.
By letting , we can see that .
Differentiate both sides:
By letting we can see that .
Differentiate both sides:
By letting , we can see that .
Differentiate both sides:
By letting , we can see that .
So up to the term, we have
.