Post test: limits: introduction to calculus

What is the left-limit of f(x)=|x-3|/x-3 as x approaches 3?

-1

What is the right-handed limit of this function at x=2 g(x)=x^2-3/x-3 ?

-1

Where is the area of the region under the curve of the function f(x)=x+3 on the interval from x=1 to x=3?

10

In an experiment, a person's body temperature is given by T=310-10(7/9)^n where n is the number of minutes after the start of the experiment and T is the temperature in kelvin (K). What temperature does the body approach after a long time?

310

What is the value of this expression when n approaches infinity? 4-4/n+5/n+15/3n^2

4

If the distance covered by an object in time t is given by a(t)=t^2+5t where s(t) is in meters and t is in seconds what is the distance covered in the interval between 1 second and 5 seconds?

44 meters

Consider the function f(x)=-x^2+27x-9. The slope of the tangent line...

45 -333 72

The function f(x)=2x+1 is defined over the interval [2,5]. If the interval is divided into n equal parts what is the value of the function at the right end post of the kth rectangle?

5+6k/n

What value must be defined for f(4) to remove the discontinuity of this function at x=4? F(x)=x^2-15/x-4

8

What is the value of this limit? limx->3(sqrtx^2+7 +5)

9

If the area in square units of the region under the curve of the function f(x)=3x-1 on the interval [a,4] where a<4 is 12 square units, identify all the possible values of a

A= -2 A= 8/3

This graph represents the function f(x)=x^2-4x+3/x^2+ax+b

A=1 b= -12

The area of the region under the curve of the function f(x)=5x+7 on the interval [1,b] is 88 square units where b>1.

B=5

If f(x)=x^2/x+3 find f(x+h).

C^2+h^2+2hx/x+3+h

Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.

H(x) k(x) i(x) m(x) g(x) l(x)

Identify the expressions with nonnegative limit values.

Lim x->2 lim x->5/2 lim x->11

Which combination of limitproperties is required to evaluate this limit? limx->4(24/x-2x+2)^3

Sum, difference, quotient, power

The height in feet of a rocket launch from the ground is given by the function f(t)=-16t^2+160t. Match each value

T=2 96 t=4 32 t=5 0 t=6 -32 t=7 -64 t=9 -128

Match each function to the pair of x values at which the function exhibits discontinuity?

Unknown answer

If f(x)=x/1+x what is the value of f(x+h)?

X+h/1+x+h