Difference between revisions of "009A Sample Final 3, Problem 7"

Revision as of 19:34, 17 February 2017

Compute

a)

\lim _{x\rightarrow 0}{\frac {x}{3-{\sqrt {9-x}}}}

b)

\lim _{x\rightarrow \pi }{\frac {\sin x}{\pi -x}}

c)

\lim _{x\rightarrow -2}{\frac {x^{2}-x-6}{x^{3}+8}}

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
 <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">a) <math>\lim_{x\rightarrow 0} \frac{x}{3-\sqrt{9-x}}</math>
-::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
+::<span class="exam">b) <math>\lim_{x\rightarrow \pi} \frac{\sin x}{\pi-x}</math>
-::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
+::<span class="exam">c) <math>\lim_{x\rightarrow -2} \frac{x^2-x-6}{x^3+8}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"