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Limit of the function:
Limit of ((4+3*x)/(-2+3*x))^(-7+5*x)
Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
Limit of ((3+2*x)/(7+5*x))^(1+x)
Limit of (1-log(7*x))^(7*x)
Derivative of:
e^(4*x)
Integral of d{x}:
e^(4*x)
Equation:
e^(4*x)
Identical expressions
e^(four *x)
e to the power of (4 multiply by x)
e to the power of (four multiply by x)
e(4*x)
e4*x
e^(4x)
e(4x)
e4x
e^4x
Similar expressions
(-1+e^(4*x))/sin(2*x)
e^(4*x)/(2-5*x-2*x^2)
e^(4*x)*(-1-x+3*x^2)

Limit of the function/ e^(4*x)

Limit of the function e^(4*x)

The solution

You have entered [src]

      4*x
 lim E   
x->oo

\lim_{x \to \infty} e^{4 x}

Limit(E^(4*x), x, oo, dir='-')

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

Rapid solution [src]

oo

\infty

Expand and simplify

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} e^{4 x} = \infty

\lim_{x \to 0^-} e^{4 x} = 1

More at x→0 from the left

\lim_{x \to 0^+} e^{4 x} = 1

More at x→0 from the right

\lim_{x \to 1^-} e^{4 x} = e^{4}

More at x→1 from the left

\lim_{x \to 1^+} e^{4 x} = e^{4}

More at x→1 from the right

\lim_{x \to -\infty} e^{4 x} = 0

More at x→-oo

The graph

Limit of the function e^(4*x)