Limits and Continuity

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Direct Substitution in Limits: Everything you need to know

Direct Substitution in Limits: Everything you need to know

Direct substitution is a straightforward method used in calculus to evaluate the limit of a function as the variable approaches a specific value. This method is applicable and effective when the function is continuous at the point to which the variable approaches. Let’s delve into this concept in more detail:

How to Remove Discontinuity from a Function

How to Remove Discontinuity from a Function

Understanding Removable Discontinuities Definition: A removable discontinuity at a point \( x = a \) occurs if the limit of \( f(x) \) as \( x \) approaches \( a \) exists, but either \( f(a) \) is not defined or \( f(a) \) is not equal to this limit. Graphical Representation: On a graph, […]

A Complete Explanation of the Continuity over an Interval

A Complete Explanation of the Continuity over an Interval

Continuity at a point Explained: How to Identify Discontinuities and Their Significance

Continuity at a point Explained: How to Identify Discontinuities and Their Significance