To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ______.
2 answers:
Answer with explanation:
→Sign charts are mainly used for solving Inequality.
→Sign charts are also used to determine in which interval function is increasing and in which interval it is decreasing.That is concept of Increasing and Decreasing Phenomenon is used in functions.
→In sign chart,we substitute real numbers after and before Zero of the inequality in the function to check which side on the number line or inside which interval the inequality is satisfied.
→So, to fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and in the given Function (Polynomial).
Whether these numbers satisfy the Inequality or not to find the interval.
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we are given that
f(x) is defined for all values of x except at x=c
Limit may or may not exist
case-1:
If there is hole at x=c , then limit exist
case-2:
If there is vertical asymptote at x=c , then limit does not exist
Examples:
case-1:
We can simplify it
so, we can see that limit exist and it's value defined
case-2:
Left limit is
Right Limit is
so, we can see that left limit is not equal to right limit
so, limit does not exist