THE LIMIT THEOREM

THE LIMIT THEOREM

By Eric James Fernandez

Open Ended

What was our last discussion?

In week 1 module of this subject we introduced what is LIMIT. I mentioned also the different functions that you’ve encountered in your JHS year. These are: constant function, linear function, quadratic function and a rational function.

          In addition, we used table of values to find the limit of a given function. We discuss also the condition while LIMIT DOES NOT EXIST (DNE).

Some text here about the topic of discussion

​Let us analyze on how the solution of LIMITS is being done in the given example below:

​HOW TO READ?

Open Ended

What do you think the reason why 2 is the answer to the given limit problem?

HOW TO READ?

Some text here about the topic of discussion

Open Ended

What do you think the reason why 4 is the answer to the given limit problem?

Draw

$$\lim_{x\rightarrow9}\ x$$   = ?

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$$\lim_{x\rightarrow0.0005}\ x$$  =?

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$$\lim_{x\rightarrow2}5=\ ?$$  

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$$\lim_{x\rightarrow\frac{1}{2}}0.7=?$$  

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$$\lim_{x\rightarrow3}\left(x+7\right)=$$  

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$$\lim_{x\rightarrow2}\left(x-5\right)=$$  

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$$\lim_{x\rightarrow4}6x=$$  

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$$\lim_{x\rightarrow2}x\left(x-5\right)=$$  

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$$\lim_{x\rightarrow2}\ \frac{3x}{x+9}=$$  

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$$\lim_{x\rightarrow5}\ \ x^3=$$  

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$$\lim_{x\rightarrow-1}\left(x^5-2x^3+x^2-8\right)^6=$$  

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$$\lim_{x\rightarrow-27}\sqrt[3]{x}=$$  

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$$\lim_{x\rightarrow8}\sqrt[]{x}=$$  

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$$\lim_{x\rightarrow2}\ \ \sqrt[3]{3x^4-2x^2+5x-\frac{1}{2}}$$  

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$$\lim_{x\rightarrow-3}\left(2x^5-3x^4+11x^2+1\right)$$  

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$$\lim_{x\rightarrow-1}\left(5x^3-2x^3+x-4\right)^{\frac{4}{3}}$$  

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​Not all the time that we need to use the concept of table of values and the graph to find the LIMIT of a functions. As you observed on the discussion given above we apply rules to find its LIMIT. Applying the rules is very helpful in order to have the right solution.

            If we relate this in our daily life, without laws and regulations, civilization would fall apart, as there would be nothing to shield us from each other's most fundamental self-serving tendencies, as well as occasionally self-destructive habits.

Open Ended

What characteristic/s will be shown if you follow the rules that being implemented in school and in your community?

Open Ended

If you constantly do this characteristic/s in relation to the above question, what will you possess?

Open Ended

In the midst of pandemic, what activities/ scenario showing that you obey the rules and regulation that being implemented by government?

​Gal 5:23:

“Gentleness and self-control. Against such things there is no law”.

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