Answer is D
Step by step explanation
Answer:
It should I only looked at the first few columns and the matched up
Step-by-step explanation:
Answer:
The limit of this function does not exist.
Step-by-step explanation:
![\lim_{x \to 3} f(x)](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%203%7D%20f%28x%29)
![f(x)=\left \{ {{9-3x} \quad if \>{x \>< \>3} \atop {x^{2}-x }\quad if \>{x\ \geq \>3 }} \right.](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B9-3x%7D%20%5Cquad%20if%20%5C%3E%7Bx%20%5C%3E%3C%20%5C%3E3%7D%20%5Catop%20%7Bx%5E%7B2%7D-x%20%7D%5Cquad%20if%20%5C%3E%7Bx%5C%20%5Cgeq%20%5C%3E3%20%7D%7D%20%5Cright.)
To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if
![\lim_{x \to a^{-}} f(x) = \lim_{x \to a^{+}} f(x) =L](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20a%5E%7B-%7D%7D%20f%28x%29%20%3D%20%5Clim_%7Bx%20%5Cto%20a%5E%7B%2B%7D%7D%20f%28x%29%20%3DL)
and the limit does not exist if
![\lim_{x \to a^{-}} f(x) \neq \lim_{x \to a^{+}} f(x)](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20a%5E%7B-%7D%7D%20f%28x%29%20%5Cneq%20%5Clim_%7Bx%20%5Cto%20a%5E%7B%2B%7D%7D%20f%28x%29)
Evaluate the one-sided limits.
The left-hand limit
![\lim_{x \to 3^{-} } 9-3x= \lim_{x \to 3^{-} } 9-3*3=0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%203%5E%7B-%7D%20%7D%209-3x%3D%20%5Clim_%7Bx%20%5Cto%203%5E%7B-%7D%20%7D%209-3%2A3%3D0)
The right-hand limit
![\lim_{x \to 3^{+} } x^{2} -x= \lim_{x \to 3^{+} } 3^{2}-3 =6](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%203%5E%7B%2B%7D%20%7D%20x%5E%7B2%7D%20-x%3D%20%5Clim_%7Bx%20%5Cto%203%5E%7B%2B%7D%20%7D%203%5E%7B2%7D-3%20%3D6)
Because the limits are not the same the limit does not exist.
Right cylinderSolve for lateral surfaceAL=2πrh<span><span><span>rRadius</span><span>hHeight</span></span><span><span>h</span>
</span></span>
Radius equals: 4.51
hope this helps! ♥