lim x → 0 { 10 7 + 1 0 2 29 + 1 0 3 133 + … + 1 0 n 5 n + 2 n } = ____

10 5 + 2 + 1 0 2 5 2 + 2 2 + … .. + 1 0 n 5 w + 2 w (use G.P; s ∞ )

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsMiscellaneous/MixedEasy2 minQB

MathematicsEasysingle choice

$lim_{x \to 0} {\frac{7}{10} + \frac{29}{1 0 ^{2}} + \frac{133}{1 0 ^{3}} + \dots + \frac{5 ^{n} + 2 ^{n}}{1 0 ^{n}}} =$ $____$

Answer:

Solution:

$\frac{5 + 2}{10} + \frac{5 ^{2} + 2 ^{2}}{1 0 ^{2}} + \dots .. + \frac{5 ^{w} + 2 ^{w}}{1 0 ^{n}}$ (use G.P; $s_{\infty}$ )

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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