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Limit of the function (1+5x)(-1+5*x)

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 lim ((1 + 5*x)*(-1 + 5*x))
x->1+

\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)

Limit((1 + 5*x)*(-1 + 5*x), x, 1)

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

Plot the graph

Other limits x→0, -oo, +oo, 1

\lim_{x \to 1^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = 24

\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = 24

\lim_{x \to \infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty

\lim_{x \to 0^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1

\lim_{x \to 0^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = -1

\lim_{x \to -\infty}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right) = \infty

Rapid solution [src]

24

Expand and simplify

One‐sided limits [src]

 lim ((1 + 5*x)*(-1 + 5*x))
x->1+

\lim_{x \to 1^+}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)

24

= 24.0

 lim ((1 + 5*x)*(-1 + 5*x))
x->1-

\lim_{x \to 1^-}\left(\left(5 x - 1\right) \left(5 x + 1\right)\right)

24

= 24.0

= 24.0

Numerical answer [src]

24.0

24.0

The graph

Limit of the function (1+5*x)*(-1+5*x)