15.4. Limit of a Polynomial Function
Because polynomial functions do not have domain restrictions, the limit can be found by plugging in c such that the limit of f(x) as x approaches c is f(c).
For example, the limit of the function f(x) = x^2 + 2x + 1 as x approaches 1 is f(1) = 1^2 + 2(1) + 1 = 4.
For example, the limit of the function f(x) = x^2 + 2x + 1 as x approaches 1 is f(1) = 1^2 + 2(1) + 1 = 4.
lim Function
There are three ways to find a limit:
1) Type in the word "lim" using the qwerty keyboard. Activate it by tapping the a-z button.
2) Tap the exponent key four times.
3) Tap and hold the exponent key and select "lim."
Enter the value being approached using the format: [ x = c ]. Use c+ and c- to find the right- and left-hand limits respectively. Make sure to include the brackets. Then type in the function. Use parentheses if it is longer than one term.
There are three ways to find a limit:
1) Type in the word "lim" using the qwerty keyboard. Activate it by tapping the a-z button.
2) Tap the exponent key four times.
3) Tap and hold the exponent key and select "lim."
Enter the value being approached using the format: [ x = c ]. Use c+ and c- to find the right- and left-hand limits respectively. Make sure to include the brackets. Then type in the function. Use parentheses if it is longer than one term.
Examples
Find the indicated limit.
Find the indicated limit.
Calculator solution
Type in: lim [x = 2] 5
Type in: lim [x = 2] 5
Calculator solution
Type in: lim [ x = 2 + ] ( 2x - 5 )
Type in: lim [ x = 2 + ] ( 2x - 5 )
Calculator solution
Type in: lim [ x = - 2 + ] ( x^2 - 3x + 2 )
Type in: lim [ x = - 2 + ] ( x^2 - 3x + 2 )
Calculator solution
Type in: lim [ x = 2] ( 2x - 1 )
Type in: lim [ x = 2] ( 2x - 1 )
Calculator solution
Type in: lim [ x = -3 ] ( 3x^2 + 2x- 5 )
Type in: lim [ x = -3 ] ( 3x^2 + 2x- 5 )