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Popular >

limit as x approaches-infinity of ((1-1)^{e-x}+(2-2)x^4+1)/(x^2)

Solution

x \to - \infty lim (\frac{( 1 - 1 ) ^{e - x} + ( 2 - 2 ) x ^{4} + 1}{x ^{2}})

Solution

0

Solution steps

x \to - \infty lim (\frac{( 1 - 1 ) ^{e - x} + ( 2 - 2 ) x ^{4} + 1}{x ^{2}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to - \infty} ( ( 1 - 1 ) ^{e - x} + ( 2 - 2 ) x ^{4} + 1 )}{lim _{x \to - \infty} ( x ^{2} )}

x \to - \infty lim ((1 - 1)^{e - x} + (2 - 2) x^{4} + 1) = 1

x \to - \infty lim (x^{2}) = \infty

= \frac{1}{\infty}

Apply Infinity Property:

\frac{c}{\infty} = 0

= 0

Graph

Popular Examples

limit as x approaches 0 of (x2^x)/(2x-1)

x \to 0 lim (\frac{x 2 ^{x}}{2 x - 1})

limit as x approaches infinity+of (5-2x)/(3x-7)

x \to \infty + lim (\frac{5 - 2 x}{3 x - 7})

integral of 1/2 x^{4/3}

\int \frac{1}{2} x^{\frac{4}{3}} d x

sum from n=0 to infinity of \sqrt[n]{n}

n = 0 \sum \infty n n

tangent of y=(x^2)/(x+9),(1, 1/10)tangent of

y = \frac{x ^{2}}{x + 9}, (1, \frac{1}{10})

Frequently Asked Questions (FAQ)

What is the limit as x approaches-infinity of ((1-1)^{e-x}+(2-2)x^4+1)/(x^2) ?
The limit as x approaches-infinity of ((1-1)^{e-x}+(2-2)x^4+1)/(x^2) is 0