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ach side of the garden =

ach side of the garden =

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Q. ach side of the garden =
  1. Combine fractions in numerator: First, let's combine the fractions in the numerator.\newline((1)/(x+4)−(1)/(4))=(4−(x+4))/((x+4)(4))((1)/(x+4)-(1)/(4)) = (4-(x+4))/((x+4)(4))\newlineSimplify the numerator: (4−x−4)/((x+4)(4))=(−x)/((x+4)(4))(4-x-4)/((x+4)(4)) = (-x)/((x+4)(4))
  2. Divide simplified numerator by xx: Now, divide the simplified numerator by xx in the denominator.(−x)((x+4)(4))/(x)=(−x)((x+4)(4)x)\frac{(-x)}{((x+4)(4))}/(x) = \frac{(-x)}{((x+4)(4)x)}
  3. Cancel out xx: Simplify the expression by canceling out xx.−x(x+4)(4)x=−1(x+4)(4)\frac{-x}{(x+4)(4)x} = \frac{-1}{(x+4)(4)}
  4. Evaluate limit as xx approaches 00: Evaluate the limit as xx approaches 00.lim⁡x→0(−1(x+4)(4))=−1(0+4)(4)=−116\lim_{x \to 0}\left(\frac{-1}{(x+4)(4)}\right) = \frac{-1}{(0+4)(4)} = \frac{-1}{16}

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