WEBVTT
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this is problem number sixty of the Stuart Calculus eighth
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edition section two point three If the limit as X
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approaches zero of the function F of X, divided
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by X squared, equals five, find the following
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limits. The limit is experts zero of ethics for
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Party and the limiters Expertise. Hero of the function
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f divided by X for part B for party.
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We take a look at the original statement and we
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use one of our properties and limits or potions to
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rewrite thiss limit as limited f right away. The
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limit as experts. Zero of X squared equals two
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five and we can solve for the limit as experts
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zero of the function if by not playing both sides
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part of the limit is that X approaches hero of
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the function X squared, the limit is export zero
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of X squared zero and then five times zero gives
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the answer for party and zero part of being We
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will take Ah, we will take this original limit
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and split it up a different way instead of splitting
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it up as one limit of after matter by the
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limited X squared. Well, just take one of
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the exes from the denominator and keep it here with
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that for the numerator down here, we're just up
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with X. This is still a quart of five
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. We just He was one of our limit,
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cause for the oceans. And then here we divide
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that are sorry. Here we go. Fly by
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The limit is experts zero of X from both sides
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. Leaving David, is there a limit on left
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? And so we have the limiters expressions hero of
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F over X, which is that terrible man on
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left equals front of tender limit of X as experts
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zero. And of course, this is your own
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, as experts zero zero times five equals zero.
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And so we have our answer apart to be a
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swan.