Difference between revisions of "009A Sample Final 3, Problem 4"
Kayla Murray (talk | contribs) (Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math> ::<span class="exam">b) <math st...") |
Kayla Murray (talk | contribs) |
||
| (6 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | <span class="exam"> | + | <span class="exam"> Discuss, without graphing, if the following function is continuous at <math style="vertical-align: 0px">x=0.</math> |
| − | ::< | + | ::<math>f(x) = \left\{ |
| + | \begin{array}{lr} | ||
| + | \frac{x}{|x|} & \text{if }x < 0\\ | ||
| + | 0 & \text{if }x = 0\\ | ||
| + | x-\cos x & \text{if }x > 0 | ||
| + | \end{array} | ||
| + | \right. | ||
| + | </math> | ||
| − | + | <span class="exam">If you think <math style="vertical-align: -4px">f</math> is not continuous at <math style="vertical-align: -4px">x=0,</math> what kind of discontinuity is it? | |
| + | <hr> | ||
| + | [[009A Sample Final 3, Problem 4 Solution|'''<u>Solution</u>''']] | ||
| − | |||
| − | + | [[009A Sample Final 3, Problem 4 Detailed Solution|'''<u>Detailed Solution</u>''']] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 16:38, 2 December 2017
Discuss, without graphing, if the following function is continuous at Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=0.}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x) = \left\{ \begin{array}{lr} \frac{x}{|x|} & \text{if }x < 0\\ 0 & \text{if }x = 0\\ x-\cos x & \text{if }x > 0 \end{array} \right. }
If you think Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f} is not continuous at Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=0,} what kind of discontinuity is it?