Find the Asymptotes y=2/x

Problem

y=2/x

Solution

1. Identify the vertical asymptote by finding the values of x that make the denominator zero while the numerator remains non-zero.

2. Set the denominator equal to zero.

x=0

3. Identify the horizontal asymptote by examining the limit of the function as x approaches infinity or negative infinity.

4. Evaluate the limit as x→∞

(lim_x→∞)(2/x)=0

5. Determine the horizontal asymptote from the result of the limit.

y=0

Final Answer

Vertical Asymptote: *x=0, Horizontal Asymptote: *y=0

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