Question

homework 1.1: the limit of a function (graphical and analytical methods); score: 16.2/42 answered: 11/21 progress saved done √0 question 12 0/2 pts 8 49 details let ( f(x)=\begin{cases}10 - x - x^{2}&\text{if }xleq2\\2x - 1&\text{if }x > 2end{cases}) calculate the following limits. enter dne if the limit does not exist. (lim_{x
ightarrow2^{-}}f(x)=) (lim_{x
ightarrow2^{+}}f(x)=) (lim_{x
ightarrow2}f(x)=) question help: video add work

Explanation:

Answer:

(a) \( \lim_{x\to2^{-}}f(x)=4 \)
(b) \( \lim_{x\to2^{+}}f(x)=3 \)
(c) \( \lim_{x\to2}f(x)=\text{DNE} \)