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

Revision as of 08:51, 5 February 2017

Evaluate the following limits.

a) Find

\lim _{x\rightarrow 2}{\frac {{\sqrt {x^{2}+12}}-4}{x-2}}

b) Find

\lim _{x\rightarrow 0}{\frac {\sin(3x)}{\sin(7x)}}

c) Evaluate

\lim _{x\rightarrow ({\frac {\pi }{2}})^{-}}\tan(x)

Solution:

(a)

Step 1:

Step 2:

(b)

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam">Evaluate the following limits.
-::<span class="exam">a)
+::<span class="exam">a) Find <math>\lim _{x\rightarrow 2} \frac{\sqrt{x^2+12}-4}{x-2}</math>
-::<span class="exam">b)
+::<span class="exam">b) Find <math>\lim _{x\rightarrow 0} \frac{\sin(3x)}{\sin(7x)} </math>
+::<span class="exam">c) Evaluate <math>\lim _{x\rightarrow (\frac{\pi}{2})^-} \tan(x) </math>
@@ Line 60: / Line 61: @@
 |
 |}
+'''(c)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|-
+|
+|}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 66: / Line 93: @@
 |'''(a)'''
 |-
 |'''(b)'''
+|-
+|'''(c)'''
 |}
 [[009A_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]