Class 12

This is because the notion of a derivative is dependent on the existence of limits in the theory of functions. This is why the theory of limits of functions is considered to be the cornerstone of calculus. What exactly is a limit? To further grasp the notion of “limit,” consider the following example: consider the […]

Limits, Continuity and Differentiability Introduction This topic educates the learners on limits, continuity, and differentiability, the existence of limits, expansion in evaluating limits, and evaluation of algebraic limits. This guide will also help you understand the basics of function graphs. Limits, continuity, and differentiability are integral and essential parts of mathematics.  Let us start by

The concept of the limit is critical to grasp in order to prepare for calculus. A limit is a value that a function approaches as the value of its independent variable approaches a specified value. For instance, given the function f (x) = 3x, one could assert, “The limit of f (x) as x approaches

The concept of the limit is critical to grasp in order to prepare for calculus. A limit is a value that a function approaches as the value of its independent variable approaches a specified value. For instance, given the function f (x) = 3x, one could assert, “The limit of f (x) as x approaches

Limits are the locations where a function goes toward the final result for the given input values in mathematics. Limits are used in calculus and mathematical analysis to define things like continuity, integrals, and derivatives among other things. It is employed in the analysis process and always refers to the function’s behaviour at a specific

In this, we will discuss the existence of limits, expansion in evaluating limits, evaluation of algebraic limits, etc. We will also get a brief on continuity and  differentiability as well. Generally, the limit of a function is written as: Here x→c denotes the value of x that is tending to c. Here the limit of

In mathematics, limits are the values at which a function approaches the output for the given input values. Limits are used to define integrals, derivatives, and continuity in calculus and mathematical analysis. It is used during the analysis process and always refers to the behaviour of the function at a specific point. The concept of

In mathematics, limits are the values at which a function approaches the output for the given input values. Limits are used to define integrals, derivatives, and continuity in calculus and mathematical analysis. In modern calculus, the concept of a limit has numerous applications. Many definitions of continuity, in particular, use the concept of limit: a