What is the limit as x approaches-infinity of |x|-3 ?

The limit as x approaches-infinity of |x|-3 is infinity

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limit as x approaches-infinity of |x|-3

x \to - \infty lim (∣ x ∣ - 3)

\infty

Solution steps

x \to - \infty lim (∣ x ∣ - 3)

x

is negative when

x \to - \infty

. Therefore

∣ x ∣ = - x

= x \to - \infty lim (- x - 3)

Apply Infinity Property:

x \to - \infty lim (a x^{n} + \dots + b x + c) = \infty, a < 0,

n is odd

a = - 1, n = 1

= \infty

(x + 1) ln (x + 1)

y = (\frac{4}{x + 2}), at x = 2

\int \frac{6}{7} sec^{2} (\frac{x}{7}) d x

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

y^{^{''}} + 8 y^{^{'}} + 65 y = 0

What is the limit as x approaches-infinity of |x|-3 ?
The limit as x approaches-infinity of |x|-3 is infinity