1.a. Suppose 𝑓: (2,3] → ℝ given by 𝑓(𝑥) = 2/(𝑥−1) . Use the 𝜖 − 𝛿 defini

[answerhappygod]

1.a. Suppose 𝑓: (2,3] → ℝ given by 𝑓(𝑥) = 2/(𝑥−1) . Use the
𝜖 − 𝛿 definition to show that 𝑓 is uniformly continuous.
b. Give an example of functions 𝑓 and 𝑔 such that each of 𝑓 and
𝑔 are uniformly continuous, but the product function 𝑓𝑔 is not
uniformly continuous. Be sure to specify the domain of each
function. No proof necessary.