What is the left-hand limit of this charge at…

What is the left-hand limit of this charge at w = 3?

Question 71

MediumOriginal question

A courier charges $C(w) = 40 + 20[w]$ rupees for a parcel of weight $w$ kg, where $0 < w < 5$ and $[w]$ is the greatest integer not more than $w$ .

What is the left-hand limit of this charge at $w = 3$ ?

₹40Correct answerYour answer₹60Correct answerYour answer₹80Correct answerYour answer₹100Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

₹100 is $C(3)$ itself; at exactly 3 kg the charge has already stepped up.

Ten questions from Continuity & Differentiability, at your own pace.

Ten questions from Continuity & Differentiability, at your own pace.