Is Lim X infinity (\sqrt{x}-\sqrt{x-3}?

pacificak8m

pacificak8m

Answered question

2022-04-25

Is Lim X infinity (xx3?

Answer & Explanation

Zain Mccarty

Zain Mccarty

Beginner2022-04-26Added 15 answers

xx3=xx31 Multiply numerator and denominator both by conjugate of the numerator:
xx31x+x3x+x3=x(x3)x+x3=3x+x3 NOW take limit
limit as x goes to Infinity for 3x+x3
Numerator goes to three, denominator goes to Infinity.
The whole fraction goes to zero. Limit equals zero.

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