Mister Exam

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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^(x^2)
Equation:
e^(x^2)
Plot:
e^(x^2)
Identical expressions
e^(x^ two)
e to the power of (x squared )
e to the power of (x to the power of two)
e(x2)
ex2
e^(x²)
e to the power of (x to the power of 2)
e^x^2
Similar expressions
(2+e^(x^2))^(1/x)
(-1+e^(x^2))/(-1+cos(x))
(2-e^(x^2))/cos(pi*x)

Limit of the function/ e^(x^2)

Limit of the function e^(x^2)

The solution

You have entered [src]

      / 2\
      \x /
 lim E    
x->oo

\lim_{x \to \infty} e^{x^{2}}

Limit(E^(x^2), 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

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} e^{x^{2}} = \infty

\lim_{x \to 0^-} e^{x^{2}} = 1

More at x→0 from the left

\lim_{x \to 0^+} e^{x^{2}} = 1

More at x→0 from the right

\lim_{x \to 1^-} e^{x^{2}} = e

More at x→1 from the left

\lim_{x \to 1^+} e^{x^{2}} = e

More at x→1 from the right

\lim_{x \to -\infty} e^{x^{2}} = \infty

More at x→-oo

Rapid solution [src]

oo

\infty

Expand and simplify

The graph

Limit of the function e^(x^2)