Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Factors are the multiplier and the multiplicand in the mathematical operation called multiplication.
Multiple is the any number multiplied by any integer.
Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Multiples of 24:
24, 48, 72, 96, 120, so on.
6 is a factor of 24.
36 is neither a factor nor a multiple of 24.
48 is a multiple of 24.
3000 + 500 + 60 = 3560
_____
Your calculator can help you out here if you really have no idea that the exponent of 10 tells you the number of zeros: 10^3 = 1000.
Answer:
I believe the answer would be 3, and 7.
Step-by-step explanation:
Here's why to start off (x-3)(x-7)=0
What would you plug into x to make it 0, well x=3, and x=7, because 3-3=0, 7-7=0
Hope this helped!!!, :)
