By def. of the derivative, we have for y = ln(x),
Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as
Recall that the constant e is defined by the limit,
Then in our limit, we end up with
In Mathematica, use
D[Log[x], x]
1) 7, 11, 17, 25, 35
2) 6, 12, 22, 36, 54
6) The nth term is T= n^2 +4n -1
7) The nth term is T= n^2 + 3n
8) The nth term is T= 2n^2 + 2n + 5
I‘ll try to do the others, I’ll write the solutions in the comments of my answer
Answer:
No
Step-by-step explanation:
7x+1 means 7 x X + 1
1xt7 means 1 x X x T x 7
so they are different
