Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x 4 \end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?

A) 3 B) 2 C) 0 D) 1 E) Does not exist A) 3 B) 2 C) 0 D) 1 E) Does not exist

Exam 2: Limits and Continuity

Let $f ( x ) = \sqrt { x }$ Which of the following is equal to $\lim _ { x \rightarrow 4 } \frac { f ( x ) - f ( 4 ) } { x - 4 }$ ?

(Multiple Choice)

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Question 121

Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?

(Multiple Choice)

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Question 122

Showing 121 - 122 of 122

Let $f ( x ) = \sqrt { x }$ Which of the following is equal to $\lim _ { x \rightarrow 4 } \frac { f ( x ) - f ( 4 ) } { x - 4 }$ ?

Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?

Preparing for Calculus

The Derivative

More About Derivatives

Applications of the Derivative

The Integral

Applications of the Integral

Techniques of Integration

Infinite Series

Parametric Equations; Polar Equations

Vectors; Lines, Planes, and Quadric Surfaces in Space

Vector Functions

Functions of Several Variables

Directional Derivatives, Gradients, and Extrema

Multiple Integrals

Vector Calculus

Differential Equations

Filters

Exam 2: Limits and Continuity

Let f(x)=xf ( x ) = \sqrt { x }f(x)=x​ Which of the following is equal to lim⁡x→4f(x)−f(4)x−4\lim _ { x \rightarrow 4 } \frac { f ( x ) - f ( 4 ) } { x - 4 }limx→4​x−4f(x)−f(4)​ ?

Let f(x)={2x−5x<40x=4x2x>4f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.f(x)=⎩⎨⎧​2x−502x​​x<4x=4x>4​ . Which of the following is true for lim⁡x→4f(x)\lim _ { x \rightarrow 4 } f ( x )limx→4​f(x) ?

Preparing for Calculus

The Derivative

More About Derivatives

Applications of the Derivative

The Integral

Applications of the Integral

Techniques of Integration

Infinite Series

Parametric Equations; Polar Equations

Vectors; Lines, Planes, and Quadric Surfaces in Space

Vector Functions

Functions of Several Variables

Directional Derivatives, Gradients, and Extrema

Multiple Integrals

Vector Calculus

Differential Equations

Filters

Let $f ( x ) = \sqrt { x }$ Which of the following is equal to $\lim _ { x \rightarrow 4 } \frac { f ( x ) - f ( 4 ) } { x - 4 }$ ?

Let $f ( x ) = \left\{ \begin{array} { c c } 2 x - 5 & x < 4 \\0 & x = 4 \\\frac { x } { 2 } & x > 4\end{array} \right.$ . Which of the following is true for $\lim _ { x \rightarrow 4 } f ( x )$ ?