the inequality 2𝑥−1≤𝑓(𝑥)≤𝑥2 provides sufficient information to determine the limit of 𝑓(𝑥) at 𝑥=1.

Question

determine the value of the limit.

lim𝑥→1𝑓(𝑥)=

Answer 1

Both functions will go to the same value: lim x-> 1 (x²) = 1

lim x -> 1 (2x-1) = 1

So, the function in the middle will also get to the limit = 1