These are the x-values where the function is discontinuous as well as their types of discontinuities.
What is x = 0 (Jump Discontinuity) and x = 2 (Point Discontinuity)?
This is the result of the following evaluation for the function below:
2lim_(x\rightarrow0)f(x)
What is DNE?
This is the most common atom in the universe.
What is hydrogen?
This is the result of the following limit:
lim_(x\rightarrow3)(2x^2-18x-36)/(x-3)
What is
-6?
This is the result of the following limit:
lim_(x\rightarrow\infty)((4x^2-3)(5-x))/((x-3)(2x^2+5))
What is -2?
These are the intervals where the function is continuous.
What is
(-\infty,-2)\cup(-2,1)\cup(1,4)\cup(4,\infty)?
This is the result of the following evaluation for the function below:
lim_(x\rightarrow-4^+)f(x)+lim_(x\rightarrow2^-)f(x)
What is -3?
This term is used when a player scores three strokes under par on a single hole in golf.
What is an albatross?
This is the result of the following limit:
lim_(x\rightarrow5)(\sqrt(x+4)-3)/(x-5)
What is
1/6?
This is the result of the following limit:
lim_(x\rightarrow-4^-)(3x)/(x+4)
What is
-\infty?
This is the verdict on whether or not the piecewise function below is continuous at x = 0:
f(x)={(ln(x+1)+cos(x) if x<=0),(4e^(6x)+sin(\pix) if x>0):}
What is yes?
This is the result of the following evaluation for the function below:
f(-2)-3lim_(x\rightarrow4^+)f(x)
What is -9?
This console serves as a platform for numerous games including Mario Kart 64, GoldenEye, and The Legend of Zelda: Ocarina of Time just to name a few.
What is Nintendo 64?
This is the result of the following limit:
lim_(x\rightarrow7)(1/x-1/7)/(x-7)
What is
-1/49?
This is the result of the following limit:
lim_(x\rightarrow\infty)(2^x+12)/(5+2^x)
What is 1?
This is the verdict on whether or not the piecewise function below is continuous at x = 5:
f(x)={(|x-5|/(x-5) if x\ne5),(8 if x=5):}
What is no?
This is the result of the following evaluation for the function below:
lim_(x\rightarrow2)f(g(x))
What is 2?
This Hollywood star / comedian (initials B.M.) plays himself in the 2009 horror comedy film Zombieland.
Who is Bill Murray?
This is the result of the following limit:
lim_(x\rightarrow0)(sin(3x)/(6x)+(4-4cos(x))/(x))
What is
9/2?
This is the result of the following limit:
lim_(x\rightarrow\infty)(x^16-9x^5+10x^2)/(e^x)
What is 0?
These are the values of a and b that make the function continuous:
f(x)={(ax-b if x<1),(x^2 if 1<=x<5), (4b+2a-1 if x>=5):}
What is
a=5 and b=4?
This is the result of the following evaluation for the function below:
13/4lim_(x\rightarrow1^+)g(f(x))
What is
-13/2?
This is the reverse order of Bending Styles that Aang masters throughout his journey to become the Avatar.
What are fire, earth, water and air?
This is the result of the following limit:
lim_(x\rightarrow0)((-3xcos(x)+5sin(6x))/(12x))
What is
9/4?
This is the result of the following limit:
lim_(x\rightarrow-\infty)(\sqrt(36x^2-7x+9))/(5x+11)
What is
-6/5?