Aug 6th, 2022

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in this video were just going to go over a basic introduction into limits and how to evaluate them analytically and graphically so heres a simple example lets say if we want to find the limit as x approaches two of the function x squared minus four divided by x minus two so how can we do so well one way is to use direct substitution if we plug in two notice what will happen two squared is four four minus four is zero so zero over zero is undefined which we dont know what value that represents now sometimes you could find the limit by plugging a value thats close to two and thats what you want to do you want to plug in a number thats close to two but not exactly two so for example lets call this f of x so lets calculate f of 1.9 and lets see whats going to happen actually lets make it 2.1 so lets get a positive answer instead of a negative one two point one squared minus 4 thats about 0.41 and 2.1 minus 2 is 0.1 so this is going to be 4.1 now what if we pick a value that

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Basic Algebra Formula a2 + b2 = (a b)2 + 2ab. (a b)2 = a2 2ab + b. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc. (a b c)2 = a2 + b2 + c2 2ab 2ac + 2bc.

What is Limit? Let y = f(x) as a function of x. If at a point x = a, f(x) takes indeterminate form, then we can consider the values of the function which is very near to a. If these values tend to some definite unique number as x tends to a, then that obtained a unique number is called the limit of f(x) at x = a.

A one-sided limit is a value the function approaches as the x-values approach the limit from *one side only*. For example, f(x)=|x|/x returns -1 for negative numbers, 1 for positive numbers, and isnt 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.

So by the limit theorem, limxp B(x) = limxp [A(x) + B(x)] limxp B(x) which exists. Example: A(x) = [x], where [.] represents greatest integer function.

The smaller character limit (3900) can be remedied by splitting the formula into 2 fields. Create another formula field and break out some part of the code into that one. Then call FormulaA within FormulaB. Each can have up to 3900 characters.

Using algebraic methods to evaluate a limit means that we first simplify the given expression to the point where we can evaluate the limit by direct substitution. We can do this using the property that if 𝑓 ( 𝑥 ) = 𝑔 ( 𝑥 ) for all 𝑥 𝑎 , then l i m l i m 𝑓 ( 𝑥 ) = 𝑔 ( 𝑥 ) .

So by the limit theorem, limxp B(x) = limxp [A(x) + B(x)] limxp B(x) which exists. Example: A(x) = [x], where [.] represents greatest integer function.

The practical limit to formulas though comes from the number of object references you can have per object. That limit is 15 (can be increased to 20 if you open a case with Salesforce), and those are shared across formula fields, validation rules, and perhaps a few other things.

Limits formula:- Let y = f(x) as a function of x. If at a point x = a, f(x) takes indeterminate form, then we can consider the values of the function which is very near to a. If these values tend to some definite unique number as x tends to a, then that obtained unique number is called the limit of f(x) at x = a.

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