Find the following limits at infinity:

limx$$$4$x$2537$x$89+45$x$89$x$253101$x$15=$limx$$$4$x$2537$x$89+45$x$89$x$253101$x$15=$

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limx$$$4$x$2537$x$89+45$x$89$x$253101$x$8=$limx$$$4$x$2537$x$89+45$x$89$x$253101$x$8=$

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Now, we want to consider limx$$$6$x$+13$x$49$x$2+2$limx$$$6$x$+13$x$49$x$2+2,$ so we will first divide both the numerator and denominator of the rational function by xx$^$

For the numerator, the first term becomes $6$x$6$x $/$ xx$^==,$ and the second term becomes

Each of your answers in the line above should be in terms of xx$.$ Make sure to consider if the term is negative.$$

So$,$ for the numerator, limx$$$($limx$$$(++)=)=$

Hint: you can type in as inf

For the denominator, the first term becomes and the second term becomes

Only your second answer in the line above should be in terms of xx$.$ Make sure to consider if the term is negative.$$

So$,$ for the denominator, limx$$$($limx$$$(++)=)=$

This means that limx$$$6$x$+13$x$49$x$2+2=$limx$$$6$x$+13$x$49$x$2+2=/==$

Additionally, note that limx$$$6$x$+13$x$49$x$2+2=$limx$$$6$x$+13$x$49$x$2+2=$

Notice that and are the same

However, note that$$limx$$$6$x$+13$x$59$x$2+2=$limx$$$6$x$+13$x$59$x$2+2=$ and$$limx$$$6$x$+13$x$59$x$2+2=$limx$$$6$x$+13$x$59$x$2+2=$

And, notice that$$ and are not the same

Lastly, consider the following limits:

limx$$tan$($x$)=$limx$$tan$($x$)=($No answer given$)0$DNE $$

limx$$$7$xx$20$x$6+15$x$6+$x$3104$x$4=$limx$$$7$xx$20$x$6+15$x$6+$x$3104$x$4=$

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