Indeterminate Forms ML Aggarwal ISC Class-12 Maths Solutions Chapter-6. Step by step Solutions of ML Aggarwal ISC Mathematics Class-12 Exercise 6.1, Exe 6.2 And Exe 6.3, Exe 6.4, With Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.
Indeterminate Forms ML Aggarwal ISC Class-12 Maths Ch-6
Board | ISC |
Class | 12 |
Subject | Mathematics |
Chapter-6 | Indeterminate Forms |
Session | 2024-25 |
Topics | Solutions of ML Aggarwal |
Indeterminate Forms
Indeterminate Form: In Mathematics, we cannot be able to find solutions for some form of Mathematical expressions. Such expressions are called indeterminate forms. In most of the cases, the indeterminate form occurs while taking the ratio of two functions, such that both of the function approaches to zero in the limit. Such cases are called “indeterminate form 0/0”. Similarly, the indeterminant form can be obtained in the addition, subtraction, multiplication, exponential operations also.
Indeterminate Forms of Limits:
Some forms of limits are called indeterminate if the limiting behavior of individual parts of the given expression is not able to determine the overall limit.
How to Evaluate Indeterminate Forms ?
There are three methods used to evaluate indeterminate forms. They are:
Factoring Method (0/0 form)
In the factoring method, the expressions are factorized to their maximum simplest form. After that, the limit value should be substituted.
L Hospital’s Rule (0/0 or ∞/∞ form)
In this method, the derivative of each term is taken in each step successively until at least one of the terms becomes free of the variable. It means that at least one term becomes constant.
Division of Each Term by Highest Power of Variable (∞/∞ form)
In this method, each term in numerator and denominator is divided by the variable of the highest power in the expression, and then, the limit value is obtained.
Exe-6.1
Indeterminate Forms ML Aggarwal ISC Class-12 Maths Ch-6
Exe-6.2
Indeterminate Forms ISC Class-12 Maths Ch-6
Exe-6.3
Indeterminate Forms ML Aggarwal Class-12 Maths Ch-6
Exe-6.4
ML Aggarwal ISC Class-12 Maths Ch-6
Chapter Test
Indeterminate Forms ML Aggarwal Class-12 Maths Ch-6
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