Question

lim -> infinity sqrt(x^2+3)

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Answered by GPT 3.5
To find the limit of the function sqrt(x^2+3) as x approaches infinity, we can consider the behavior of the function as x gets larger and larger.

When x becomes very large, the term x^2 dominates the function. As a result, we can approximate sqrt(x^2+3) as sqrt(x^2) = x. This approximation becomes more accurate as x approaches infinity.

Therefore, the limit of sqrt(x^2+3) as x approaches infinity is infinity.

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