Math  /  Measurement

Question Find the limit of g(x)g(x) as xx approaches 1, given that 2xg(x)x4x2+22x \leq g(x) \leq x^4 - x^2 + 2 for all x0x \geq 0.

Studdy Solution
Since the limits of both the lower bound and the upper bound as xx approaches 1 are equal to 2, by the Squeeze Theorem, the limit of g(x)g(x) as xx approaches 1 is also 2.
limx1g(x)=2\lim _{x \rightarrow 1} g(x) = 2
The limit of g(x)g(x) as xx approaches 1 is 2.

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