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

Revision as of 20:46, 1 February 2016

In each part, compute the limit. If the limit is infinite, be sure to specify positive or negative infinity.

a) $\lim _{x\rightarrow -3}{\frac {x^{3}-9x}{6+2x}}$

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

c) $\lim _{x\rightarrow -\infty }{\frac {3x}{\sqrt {4x^{2}+x+5}}}$

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
 <span class="exam">In each part, compute the limit. If the limit is infinite, be sure to specify positive or negative infinity.
-::<span class="exam">a) <math>\lim_{x\rightarrow -3} \frac{x^3-9x}{6+2x}</math>
+<span class="exam">a) <math>\lim_{x\rightarrow -3} \frac{x^3-9x}{6+2x}</math>
-::<span class="exam">b) <math>\lim_{x\rightarrow 0^+} \frac{\sin (2x)}{x^2}</math>
-::<span class="exam">c) <math>\lim_{x\rightarrow -\infty} \frac{3x}{\sqrt{4x^2+x+5}}</math>
+<span class="exam">b) <math>\lim_{x\rightarrow 0^+} \frac{\sin (2x)}{x^2}</math>
+<span class="exam">c) <math>\lim_{x\rightarrow -\infty} \frac{3x}{\sqrt{4x^2+x+5}}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"