Find the largest number 𝛿 such that if |x − 1|

Question

Find the largest number 𝛿 such that if  |x − 1| < 𝛿,  then  |4x − 4| < 𝜀,  where  𝜀 = 0.1.Repeat part (a) and determine 𝛿 with  𝜀 = 0.01.

Mark M. · Accepted Answer

l 4x - 4 l = 4 l x - 1 l < 4δ = εSo, ε = δ / 4

Find the largest number 𝛿 such that if |x − 1| < 𝛿, then |4x − 4| < 𝜀, where 𝜀 = 0.1.Repeat part (a) and determine 𝛿 with 𝜀 = 0.01.