Limit is used to define the value in which the function is approaches as an input. Limit is also used in calculus and also used to define the continuity function. Let’s talk about the limit laws. In mathematics, there are different types of laws which are given below. Now see all the limit laws one by one.
1. Addition law: - The additive law is given by: Let the lim y ⇥b f (y) and lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) + lim g (y) = lim y ⇥b f (y) + lim y ⇥b g (y).
2. Subtraction law: - The subtraction law of limit is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) - lim g (y) = lim y ⇥b f (y) - lim y ⇥b g (y).
3. Constant law: - The constant law of limit is given as: Let ‘c’ is a constant, and the limit lim y ⇥b f (y) exist, the constant law can be written as: lim y ⇥b c. f (y) = c. lim y ⇥b f (y).
4. Multiplication law: - The multiplication law is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) . lim g (y) = lim y ⇥b f (y) . lim y ⇥b g (y). (know more about limit laws, here)
5. Division laws: - The division law of limit is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist and lim y ⇥b g (y) ≠ 0, then the division law can be written as: lim y ⇥b f (y) / g (y) = lim y ⇥b f (y) / lim y ⇥b g (y). This is all about the limit laws. Now we will see the Triangle Inequality Theorem. It says that the sum of two sides of a triangle is always larger than the third side. To get more information then prefer online tutorial of cbse syllabus for class 9 and In the next session we will discuss about Differential Calculus.
1. Addition law: - The additive law is given by: Let the lim y ⇥b f (y) and lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) + lim g (y) = lim y ⇥b f (y) + lim y ⇥b g (y).
2. Subtraction law: - The subtraction law of limit is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) - lim g (y) = lim y ⇥b f (y) - lim y ⇥b g (y).
3. Constant law: - The constant law of limit is given as: Let ‘c’ is a constant, and the limit lim y ⇥b f (y) exist, the constant law can be written as: lim y ⇥b c. f (y) = c. lim y ⇥b f (y).
4. Multiplication law: - The multiplication law is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist then
lim y ⇥b f (y) . lim g (y) = lim y ⇥b f (y) . lim y ⇥b g (y). (know more about limit laws, here)
5. Division laws: - The division law of limit is given by: Let the lim y ⇥b f (y) and
lim y ⇥b g (y) both are exist and lim y ⇥b g (y) ≠ 0, then the division law can be written as: lim y ⇥b f (y) / g (y) = lim y ⇥b f (y) / lim y ⇥b g (y). This is all about the limit laws. Now we will see the Triangle Inequality Theorem. It says that the sum of two sides of a triangle is always larger than the third side. To get more information then prefer online tutorial of cbse syllabus for class 9 and In the next session we will discuss about Differential Calculus.
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