1/x när x->0+
To find the limit of 1/x as x approaches 0 from the positive side (x→0+), we can directly substitute the value of x into the expression and evaluate it
To find the limit of 1/x as x approaches 0 from the positive side (x→0+), we can directly substitute the value of x into the expression and evaluate it.
When we approach 0 from the right side (positive side), x becomes very close to 0 but is still a positive number. So we can say x is a small positive number, such as 0.01 or 0.001.
If we substitute 0.01 into the expression, we have 1/0.01 = 100.
If we substitute 0.001 into the expression, we have 1/0.001 = 1000.
As x gets closer and closer to 0, the value of 1/x becomes larger and larger. So the limit of 1/x as x approaches 0 from the positive side is infinity (∞). Mathematically, we can write it as:
lim(x→0+) 1/x = ∞
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