Evaluate the limit: lim x → 0 √(2x + 81) - 9/x
Added by Catherine J.
Step 1
First, we can try to rationalize the expression by multiplying the numerator and denominator by the conjugate of the numerator: $\lim_{x \to 0} \frac{\sqrt{2x + 81} - 9}{x} \cdot \frac{\sqrt{2x + 81} + 9}{\sqrt{2x + 81} + 9}$ This simplifies to: $\lim_{x \to 0} Show more…
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