Difference between revisions of "009A Sample Final 2, Problem 1"

Revision as of 14:42, 6 March 2017

Compute

(a) $\lim _{x\rightarrow 4}{\frac {{\sqrt {x+5}}-3}{x-4}}$

(b) $\lim _{x\rightarrow 0}{\frac {\sin ^{2}x}{3x}}$

(c) $\lim _{x\rightarrow -\infty }{\frac {\sqrt {x^{2}+2}}{2x-1}}$

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) &nbsp;<math style="vertical-align: -15px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
-<span class="exam">(b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
+<span class="exam">(b) &nbsp;<math style="vertical-align: -15px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</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) &nbsp;<math style="vertical-align: -15px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"