Question

lim_{x o 0} frac{e^{-x^2} - 1 + x^2}{5x^4}

          lim_{x 	o 0} frac{e^{-x^2} - 1 + x^2}{5x^4}
        
limx 	o 0 frace^-x^2 - 1 + x^25x^4

Added by David M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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lim r- +0 524
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Transcript

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00:02 Hello, let's have a look at the question.
00:04 So here it is given that we need to find the limit x tends to 0 of e to the power minus x square minus 1 plus x square divided by 5x to the power 4.
00:20 So now here first of all we can write this as limit x tends to 0.
00:26 Here we can write 1 upon 5x to the power 4 multiplied with x square minus 1 plus e to the power minus x square.
00:38 Now here let us write the given question as log.
00:44 So here we can write limit x tends to 0.
00:48 Here we will have e power log multiplied with 1 upon 5x to the power 4 multiplied with x square minus 1 plus e to the power minus x square...
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