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

Revision as of 13:32, 6 March 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>\lim_{x\rightarrow 0} \frac{x}{3-\sqrt{9-x}}</math>
+<span class="exam">(a) &nbsp;<math style="vertical-align: -18px">\lim_{x\rightarrow 0} \frac{x}{3-\sqrt{9-x}}</math>
-<span class="exam">(b) <math>\lim_{x\rightarrow \pi} \frac{\sin x}{\pi-x}</math>
+<span class="exam">(b) &nbsp;<math style="vertical-align: -16px">\lim_{x\rightarrow \pi} \frac{\sin x}{\pi-x}</math>
-<span class="exam">(c) <math>\lim_{x\rightarrow -2} \frac{x^2-x-6}{x^3+8}</math>
+<span class="exam">(c) &nbsp;<math style="vertical-align: -16px">\lim_{x\rightarrow -2} \frac{x^2-x-6}{x^3+8}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"