3 years ago
If 2x<= g(x)<= x^(4)-x^(2)+2 for all x, evaluate lim x tends to 1 g(x).
1 Answers
Best Answer
cbearsmith Staff answered 3 years ago
cbearsmith Staff answered 3 years ago
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