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Hi there.
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In this question, we have to evaluate the limit.
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Limit extends to infinity 4x divided by 8x minus 6 using the properties of limits.
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So let's see how we'll do this.
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First we'll rewrite the given.
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First we'll rewrite the given limit that is limit x tends to infinity.
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4x divided by 8x minus 6 can be written as limit x tends to infinity.
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4x divided by x that is 6.
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I'm going to divide both the numerator and denominator with x.
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4x divided by x divided by 8x minus 6 divided by x.
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There is no problem in dividing in both the numerator and denominator with the same thing.
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So this is equal to limit x tends to infinity, 4 divided by 8 minus 6 divided by x.
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So we got another form of the given, given quotient or given rational function which is given here.
01:01
So we got another form of that.
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So now we'll see what is the property that we can use.
01:07
We have a result that limit extends to infinity, f of x divided by g of x is equal to limit x tends to infinity f of x divided by limit extends to infinity g of x.
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And suppose that limit extends to infinity f of x is some definite value.
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L and divided by limit extends to infinity g of x be some definite value m...