Limits at infinity
As x -> infinity, what is the limit of the function
-x^2 -5x+1
What is undefined or
-oo
As x->3, what is the limit of the function
f(x)=(2x^2-6x)/(x-3)
What is 6?
Find the derivative.
f(x)=3x^2+5x−2
6x+5
What is the calculus definition of continuity?
What is the limit of a function at a point must equal the value of the function at that point?
The largest planet in the solar system.
What is Jupiter?
The derivative of
x^2
what is 2x?
As x-> infinity, what is the limit of the function:
f(x)=(x+5)/(3x+1)
What is (1/3)?
As x->3, what is the the limit of the function
f(x)=(2x-6)/(x^2-3x)
What is (2/3)?
Find the derivative.
g(x)= sqrtx + 1/x
1/(2sqrtx) -1/x^2
What is the location and type of discontinuity of this function?
f(x)=2x-x^3
Continuous. Polynomials are continuous everywhere
For the Moon, this process is the opposite of waning.
What is waxing?
The derivative of
cosx
What is
-sin x
As x->infinity what is the limit of the function
f(x)=(100x+7)/(5x^2-2x+1)
What is zero?
As x->0, the limit of the function
f(x)=(4x^2-8x)/(2x^2-3x)
What is 8/3?
Find the derivative.
(2x+1)(3x^2 −4)
18x ^2 +6x−8
What are the locations and types of discontinuities of this function?
f(x)=(x+7)/((x-7)(x+7))
What is x=7 asymptote and x=-7 hole?
You can order a western bacon cheeseburger at this fast food restaurant.
What is Carl's Jr.?
The derivative of
e^x
what is
e^x
As x-> infinity, what is the limit of the function
f(x)=(x^2+4x+10)/(5x-2)
Infinity or undefined
As x->-1, what is the limit of the function
f(x)=(x^2-3x+2)/(x+1)
What is does not exist?
Find the Derivative.
(x^2-2x+1)/(x+1)
(x^2+2x-3)/(x+1)^2
What is the location and type of discontinuity of this function
f(x)={(x^2-2; x<1), (-4x+2; x>=1):}
What is x=1 jump?
On August 26 1920, which Amendment was added that gave women the right to vote?
The derivative of ln x
what is
1/x
As x-> infinity what is the limit of the function
f(x)=(2/x+5)*((4x^3-5x+1))/(-7x^3-3)*(1-x/(2x+1))
What is -10/7?
As x->3/2, what is the limit of the function
f(x)=(2x-3)/(10x^2-13x-3)
What is (2/17)?
Find the derivative of
x^2 sinx
x^2cosx+2xsinx
What is the location and type of discontinuity?
f(x)= (x^3-8)/(x^2-4)
Not continuous as x=-2, Vertical Asymptote
He has the most goals in NHL history
Wayne Gretzky
Derivative of
cot x
what is
-csc^2 x