Use the fact that (x) 2 x is increasing to find a value of such that 2 x 8 0 001 if x 2 Find c 1 and c 2 such that 7 999 (c 1 ) (c 2 ) 8 001

Question: Use the fact that (x) = 2 x is increasing to find a value of such that |2 x 8| < 0.001 if

Use the fact that ƒ(x) = 2^x is increasing to find a value of δ such that |2^x − 8| < 0.001 if |x − 2| < δ. Find c₁ and c₂ such that 7.999 < ƒ(c₁) < ƒ (c₂) < 8.001.

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