1 Answers

Best Answer

2x <= g(x) <= x^(4)-x^(2)+2
When x=1:
bottom function: 2x=2(1)=2
top function: x^(4)-x^(2)+2=1^(4)-1^(2)+2=2
Since it is given that g(x) is between the two functions then g(x) must also approach 2 by the Squeeze Theorem.
lim_(x -> 1)g(x)=2
Result:
2