Q. 11 - Calculus

Question

Describe in terms of large and small numbers why it makes intuitive sense that limits of the form $\left(a\right)\frac{1}{\infty } \left(b\right)\frac{0}{\infty } \left(c\right)\frac{0}{1}$must equal 0.

Step-by-Step Solution

Answer

All the three limits equal to zero.

Step 1. Given Information

The given limits are $\frac{1}{\infty },\frac{0}{\infty },\frac{0}{1}$

Step 2. Explanation

$\frac{1}{\infty }$is zero because any number divided by infinity approaches to zero.

$\frac{0}{\infty }$is zero because any number divided by infinity approaches to zero.

$\frac{0}{1}$is zero.