Q. mth~
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[tex]\sf \lim \limits_{n\to 3} \: \frac{10n \: + \: 16}{20 \: + \: 10n} = ...[/tex]
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[tex]\sf \lim \limits_{n\to 3} \: \frac{10n \: + \: 16}{20 \: + \: 10n} = ...[/tex]
[tex] \sf\lim \limits_{n\to 3} \: \frac{10n + 16}{20 + 10n} [/tex]
[tex] = \sf \lim \limits_{n\to 3} \: \frac{5n + 8}{5n + 10} [/tex]
[tex] \sf = \frac{5(3) + 8}{5(3) + 10} [/tex]
[tex] \sf = \frac{15 + 8}{15 + 10} [/tex]
[tex] \sf = \frac{23}{25} [/tex]
[tex] \sf \: \lim \limits_{n\to 3} \: \frac{10n \: + \: 16}{20 \: + \: 10n} =[/tex]
[tex] \sf = \: \frac{10(3) + 16}{20 + 10(3)} [/tex]
[tex] \sf = \frac{30 + 16}{20 + 30} [/tex]
[tex] \sf \ = \frac{46}{50} [/tex]
[tex] \bf = \frac{23}{25} [/tex]
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