What is the limit of the constant function 5 as x approaches 2?

• A. 0
• B. 5
• C. ∞
• D. Undefined

Answer: (B)

Constant functions don’t change value as x changes, so their limits at any finite point equal that constant. For f(x) = 5, no matter what x is, f(x) stays 5. As x approaches 2 from either side, the function value remains 5, so the limit is 5. The other options don’t fit: 0 would require the function to approach 0, which isn’t happening; ∞ would mean the function grows without bound, which is not the case; undefined would mean the limit doesn’t exist, but here it exists and is finite. So the limit is 5.