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Find the largest number δ such that if |x − 4| < δ, then |4x − 16| < ε, where ε = 1.

Find the largest number δ such that if |x − 4| < δ, then |4x − 16| < ε, where ε = 1.
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Find the largest number δ such that if |x − 4| < δ, then |4x − 16| < ε, where ε = 1.

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User Bajaco
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1 Answer

2 votes

|4x-16|=|4(x-4)|=4|x-4|<1\implies |x-4|<\frac14=\delta
answered
User Andy Rose
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