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Popular >

limit as x approaches 1 of (sqrt(3-x))/(sqrt(3+x))e^{-x}cos(pix)

Solution

x \to 1 lim (\frac{3 - x}{3 + x} e^{- x} cos (π x))

Solution

- \frac{1}{2 e}

+1

Decimal Notation

- 0.26013 \dots

Solution steps

x \to 1 lim (\frac{3 - x}{3 + x} e^{- x} cos (π x))

Plug in the value

x = 1

= \frac{3 - 1}{3 + 1} e^{- 1} cos (π 1)

Simplify

\frac{3 - 1}{3 + 1} e^{- 1} cos (π 1) : - \frac{1}{2 e}

= - \frac{1}{2 e}

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Frequently Asked Questions (FAQ)

What is the limit as x approaches 1 of (sqrt(3-x))/(sqrt(3+x))e^{-x}cos(pix) ?
The limit as x approaches 1 of (sqrt(3-x))/(sqrt(3+x))e^{-x}cos(pix) is -1/(sqrt(2)e)