Asked by Kondwani moyo
Solve ;limit as x approaches zero (4-2x^2)1/2
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Answered by
Bot
We can solve this limit using the property of limits that says the limit of a product is the product of the limits.
First, let's take the limit of the expression inside the square root:
lim (4 - 2x^2) = 4
Next, let's take the limit of the entire expression:
lim [(4 - 2x^2)1/2]
= lim [(4 - 2x^2)1/2 * 1] (since 1 is a constant)
= lim [(4 - 2x^2)1/2] * lim [1] (using the property of limits mentioned above)
= 2 * 1
= 2
Therefore, the limit as x approaches zero of (4 - 2x^2)1/2 is equal to 2.
First, let's take the limit of the expression inside the square root:
lim (4 - 2x^2) = 4
Next, let's take the limit of the entire expression:
lim [(4 - 2x^2)1/2]
= lim [(4 - 2x^2)1/2 * 1] (since 1 is a constant)
= lim [(4 - 2x^2)1/2] * lim [1] (using the property of limits mentioned above)
= 2 * 1
= 2
Therefore, the limit as x approaches zero of (4 - 2x^2)1/2 is equal to 2.
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