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GATE2015-33
Milicevic3306
asked
in
Calculus
Mar 26, 2018
retagged
Mar 18, 2021
by
Lakshman Patel RJIT
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Consider the following infinite series:
$$1+ r+r^2 +r^3+ \dots \dots \infty$$ If $r = 0.3$, then the sum of this infinite series is ____________
gate2015
numerical-answers
calculus
sequences-and-series
infinite-series
Milicevic3306
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in
Calculus
Mar 26, 2018
retagged
Mar 18, 2021
by
Lakshman Patel RJIT
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Milicevic3306
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Answer:
1.40:1.43
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If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
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GATE2019: 13
Which of the following are geometric series? $1,\:6,\:11,\:16,\:21,\:26,\:\dots$ $9,\:6,\:3,\:0,\:-3,\:-6,\:\dots$ $1,\:3,\:9,\:27,\:81,\:\dots$ $4,\:-8,\:16,\:-32,\:64,\:\dots$ $P$ and $Q$ only $R$ and $S$ only $Q$ and $S$ only $P, Q$ and $R$ only
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go_editor
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GATE BT 2021 | Question: 20
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
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Milicevic3306
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Mar 26, 2018
GATE2015-42
The limit of the function $\bigg (1 + \dfrac{x}{n} \bigg )^n$ as $n \to \infty$ is $\ln x$ $\ln \dfrac{1}{x}$ $e^{-x}$ $e^x$
Milicevic3306
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7.9k
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calculus
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