Answer:
A. m-6/24
Step-by-step explanation:
This is the required expression because,
1. Quotient of 24 and 6 less than m.
2. It means quotient of 24 and 6 subtracted from m.
3. Representing it mathematically, m-6/24.
The correct answer is Sanjay! :)
Explanation:
Joseph: 2/3
Sanjay: 5/7
2/3 and 5/7
14/21 and 15/21
Therefore, Sanjay is the answer.
Answer with Step-by-step explanation:
Given
![f(x)=\frac{1-cos(2x)}{1-cos(x)}\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-(cos^2{x}-sin^2{x})}{1-cos(x)})\\\\(\because cos(2x)=cos^2x-sin^2x)\\\\\lim_{x \rightarrow 0}f(x)=\lim_{x\rightarrow 0}(\frac{1-cos^2x}{1-cos(x)}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}(\frac{(1-cosx)(1+cosx)}{1-cosx}+\frac{sin^2x}{1-cosx})\\\\=\lim_{x\rightarrow 0}((1+cosx)+\frac{sin^2x}{1-cosx})\\\\\therefore \lim_{x \rightarrow 0}f(x)=1](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1-cos%282x%29%7D%7B1-cos%28x%29%7D%5C%5C%5C%5C%5Clim_%7Bx%20%5Crightarrow%200%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%200%7D%28%5Cfrac%7B1-%28cos%5E2%7Bx%7D-sin%5E2%7Bx%7D%29%7D%7B1-cos%28x%29%7D%29%5C%5C%5C%5C%28%5Cbecause%20cos%282x%29%3Dcos%5E2x-sin%5E2x%29%5C%5C%5C%5C%5Clim_%7Bx%20%5Crightarrow%200%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%200%7D%28%5Cfrac%7B1-cos%5E2x%7D%7B1-cos%28x%29%7D%2B%5Cfrac%7Bsin%5E2x%7D%7B1-cosx%7D%29%5C%5C%5C%5C%3D%5Clim_%7Bx%5Crightarrow%200%7D%28%5Cfrac%7B%281-cosx%29%281%2Bcosx%29%7D%7B1-cosx%7D%2B%5Cfrac%7Bsin%5E2x%7D%7B1-cosx%7D%29%5C%5C%5C%5C%3D%5Clim_%7Bx%5Crightarrow%200%7D%28%281%2Bcosx%29%2B%5Cfrac%7Bsin%5E2x%7D%7B1-cosx%7D%29%5C%5C%5C%5C%5Ctherefore%20%5Clim_%7Bx%20%5Crightarrow%200%7Df%28x%29%3D1)