MathAdmin: Created page with "Consider the following function $f:$ :: $f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x..."$

2017-11-12T00:35:28Z

Created page with "Consider the following function <math style="vertical-align: -5px"> f:</math> ::<math>f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x..."

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Consider the following function  <math style="vertical-align: -5px"> f:</math>
::<math>f(x) = \left\{
\begin{array}{lr}
x^2 & \text{if }x < 1\\
\sqrt{x} & \text{if }x \geq 1
\end{array}
\right.
</math>

(a) Find  <math style="vertical-align: -15px"> \lim_{x\rightarrow 1^-} f(x).</math>

(b) Find  <math style="vertical-align: -15px"> \lim_{x\rightarrow 1^+} f(x).</math>

(c) Find  <math style="vertical-align: -13px"> \lim_{x\rightarrow 1} f(x).</math>

(d) Is  <math style="vertical-align: -5px">f</math>  continuous at  <math style="vertical-align: -1px">x=1?</math>  Briefly explain.
<hr>

[[007A Sample Midterm 1, Problem 2 Solution|'''Solution''']]

[[007A Sample Midterm 1, Problem 2 Detailed Solution|'''Detailed Solution''']]

[[007A_Sample_Midterm_1|'''Return to Sample Exam''']]

007A Sample Midterm 1, Problem 2 - Revision history

MathAdmin: Created page with "Consider the following function f: ::f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x..."

MathAdmin: Created page with "Consider the following function $f:$ :: $f(x) = \left\{ \begin{array}{lr} x^2 & \text{if }x..."$