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Use the pinching theorem for limits to show that if f, g and h are three...

Use the pinching theorem for limits to show that if f, g and h are three functions defined on an open interval I, such that
• f(x) ≤ g(x) ≤ h(x) for all x ∈ I,

• f(a) = g(a) = h(a) for some a ∈ I, and

• f and h are continuous at a,

then g is also continuous at a.

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