Yo can i get some help no links or pictures only say the truth or get reported
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Both result in the same limit value. This allows us to say without the plus or minus over the 2.
The left and right hand limits may not always match like this.
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Explanation:
The notation means that we are approaching x = 2 from the right hand side. This is from the positive direction. So we start at say x = 3 and move to x = 2.5 then to x = 2.1 then to x = 2.01 and so on.
Because we started with values x > 2, we will use the third definition of the piecewise function
if x > 2, then f(x) = 3x-5
Plug in x = 2 to get
f(x) = 3x-5
f(2) = 3(2)-5
f(2) = 6-5
f(2) = 1
This shows
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For the other limit, we're approaching x = 2 from the negative side. So we could start at say x = 0, then move to x = 1, then to x = 1.5 then to x = 1.9 then to x = 1.99, and so on.
We're using x values such that x < 2 now.
So we'll be using the first definition of the piecewise function
If x < 2, then f(x) = x^2 - 3
f(x) = x^2-3
f(2) = 2^2-3
f(2) = 4-3
f(2) = 1
We end up with
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Both right hand limit and left hand limit result in the same value
Because
We can shorten that to meaning we can approach x = 2 from either direction to arrive at the same limiting value.
A thing to notice is that f(2) is not equal to 1. Instead the second line of the piecewise function says f(2) = 3.
The fact that the limit as x approaches 2 and f(2) don't agree means this function is not continuous at x = 2.
The graph shows this. We have a removable discontinuity where we effectively picked the point off the graph and move it upward.
See the diagram below.
Answer:
Partial products are 300, 150, 20 and 10. The value of 15×32 is 480.
Step-by-step explanation:
We need to find the partial products of 15×32.
First write each number as the sum of their place values.
Now, write 10 and 5 in first row, and 30 and 2 in first column as shown below:
10 5
30 30×10=300 30×5=150
2 2×10=20 2×5=10
Therefore partial products are 300, 150, 20 and 10.
Add these partial product to get the value of product.
The value of 15×32 is 480.
An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
<h3>What is an Expression?</h3>In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation . Since there is only one value that can satisfy this equation that is 2.
Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
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