Prove the limit statement: ${\lim }_{x\to 2}(7-x)=5$. Which of the following choices for $\delta$ (in terms of $\epsilon$) correctly proves this limit?

• A. $\delta =\epsilon$
• B. $\delta =\frac{\epsilon }{2}$
• C. $\delta =2\epsilon$
• D. $\delta =\epsilon +1$