Limits
- Author:
- nnhsmath
The applet below allows you to enter your own functions and export limits at different points. To enter a function, type f(x)=x^2 + 3x + 2 for example. (The ^ symbol is used for exponentiation). You can enter a more complex function if you use parentheses appropriately:
f(x) = ((3x - 2)(2x-1))/((2x+1)(2x-1)) would produce the function f(x) = .
Use the limits checkbox to show the right-hand and left-limits as x approaches a given x-value from above and from below. Set the given x-value by moving the red slider along the x-axis. For example, if you want to explore the limit as x-->1 for f(x) = 1/(x-1), move the red slider to x = 1 and then use the limits slider to move the points above and below x = 1 closer and closer to x = 1.
The program will also show asymptotes -- just click the asymptotes checkbox (but not every function has an asymptote)