What is the limit as x approaches 0+of 7/x-7/(|x|) ?

The limit as x approaches 0+of 7/x-7/(|x|) is 0

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limit as x approaches 0+of 7/x-7/(|x|)

x \to 0 + lim (\frac{7}{x} - \frac{7}{∣ x ∣})

0

Solution steps

x \to 0 + lim (\frac{7}{x} - \frac{7}{∣ x ∣})

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

= x \to 0 + lim (\frac{7}{x} - \frac{7}{x})

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

\frac{d}{d x} (\frac{2}{1 + x ^{3}})

\frac{s ^{2}}{( s - 3 ) ^{2}}

2 + 5 x^{2} - 2 x^{3}

f (x) = x^{2} - 7 x + 7, at x = 6

f (x) = (6 - 3 x) (6 + 3 x), at x = 3

What is the limit as x approaches 0+of 7/x-7/(|x|) ?
The limit as x approaches 0+of 7/x-7/(|x|) is 0