Answer:
(x, -y)
Step-by-step explanation:
When you reflect across the x-axis, the point moves vertically up or down to the other side of the x-axis. The x-coordinate of the point remains the same. The y-coordinate of the point becomes the opposite of the original value.
x remains x. y becomes -y.
Answer: (x, -y)
Answer:
6.44444
Step-by-step explanation:
Answer: ![\\ \lim\limits_{k \to \infty} (1+\frac{4}{k})^k =e^4.](https://tex.z-dn.net/?f=%5C%5C%20%5Clim%5Climits_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%3De%5E4.)
Step-by-step explanation:
![\displaystyle\\ \lim_{k \to \infty} (1+\frac{4}{k})^k \\x=\frac{x}{4} *4\\So,\ \lim_{k \to \infty} (1+\frac{4}{k})^\frac{k}{4}*4 \\ \lim_{k \to \infty} ((1+\frac{4}{k})^\frac{k}{4} )^4.\\Use\ the\ second\ wonderful\ limit:\\\boxed { \lim_{x \to \infty} (1+\frac{1}{x})^x=e },\\\\So,\\ \lim_{k \to \infty} (1+\frac{4}{k})^k =e^4.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%20%5C%5Cx%3D%5Cfrac%7Bx%7D%7B4%7D%20%2A4%5C%5CSo%2C%5C%20%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5E%5Cfrac%7Bk%7D%7B4%7D%2A4%20%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%28%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5E%5Cfrac%7Bk%7D%7B4%7D%20%29%5E4.%5C%5CUse%5C%20%20the%5C%20%20second%5C%20%20wonderful%5C%20%20limit%3A%5C%5C%5Cboxed%20%7B%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B1%7D%7Bx%7D%29%5Ex%3De%20%20%7D%2C%5C%5C%5C%5CSo%2C%5C%5C%20%5Clim_%7Bk%20%5Cto%20%5Cinfty%7D%20%281%2B%5Cfrac%7B4%7D%7Bk%7D%29%5Ek%20%3De%5E4.)