limit of 0/1 or 0/∞
To find the limit of 0/1 or 0/∞, we need to understand the concept of limits in mathematics
To find the limit of 0/1 or 0/∞, we need to understand the concept of limits in mathematics.
First, let’s focus on the expression 0/1. When we divide 0 by any non-zero number, the result is always 0. This means that the value of 0/1 is also 0. We can write this as:
0/1 = 0
Now, let’s move on to the expression 0/∞. Here, ∞ represents infinity, which is not a number, but rather a concept that represents infinitely large values. In mathematics, we cannot perform direct division with infinity. However, we can use the concept of limits to determine the value.
When we divide a finite number by an extremely large number, the result tends to approach 0. In other words, the quotient gets closer and closer to 0 as the denominator becomes very large.
Therefore, we can say that the limit of 0 divided by any number that approaches infinity is also 0. Mathematically, we write this as:
lim (0/∞) = 0
To summarize, the limit of both 0/1 and 0/∞ is 0.
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