## Vedantu’s Class 11 Chapter 29 - Limits RD Sharma Solutions

## FAQs on RD Sharma Class 11 Solutions Chapter 29 - Limits (Ex 29.11) Exercise 29.11 - Free PDF

**1. Does a Limit exist for zero?**

Limit doesn’t exist for zero because the function has to approach the same value regardless of which direction x comes from. This doesn’t hold well for the function as x is approaching 0. Hence, the limit doesn’t exist for zero. When the highest degree of both the numerator and the denominator are equal then one can use the coefficient s to determine the limit. In addition to this, when the highest degree of the numerator is larger than the highest degree of the denominator, the limit will be equal to infinity.

**2. How to know if a limit is one sided? **

A one-sided limit is a value that the given function approaches as the x-values approach the limit from one side only. Consider this for an example. f(x)=|x|/x will return -1 for the negative numbers, 1 for the positive numbers, and isn't defined for 0. The one-sided right limit of f at x=0 is 1, and the one-sided left limit at x=0 is -1. We differentiate both the numerator and the denominator of the rational function until the value of the limit is not in the form of 0/0.

**3. Where is Calculus used in real life?**

Limits and calculus are used as real-life approximations for calculating the derivatives. So, to make some calculations, engineers will try to approximate a function using small differences in the function and then try to calculate the derivative of the function by having smaller and smaller spacing in the function sample intervals which we call limits in mathematics. So, Limits is a very important topic in engineering, especially relating to constructions.

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