The expansion of $\log \left( {1 + 3x + 2{x^2}} \right)$ is

$3x - \frac{5}{4}\;{x^2} + \frac{9}{3}{x^3} - \frac{{17}}{4}{x^4} + ...\infty $

$4x - \frac{5}{4}{x^2} + \frac{9}{3}{x^3} - \frac{{17}}{4}{x^4} + ...\infty $

$ - 3x - \frac{5}{4}{x^2} - \frac{9}{3}{x^3} - \frac{{17}}{4}{x^4} - ...\infty $

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

The expansion of

\log \left( {1 + 3x + 2{x^2}} \right)

View answer and explanation

Correct option: C

3x - \frac{5}{2}{x^2} + \frac{9}{3}{x^3} - \frac{{17}}{4}{x^4} + ...\infty

Option C (

3x - \frac{5}{2}{x^2} + \frac{9}{3}{x^3} - \frac{{17}}{4}{x^4} + ...\infty

) is correct because it is the correct expansion of

\log(1 + 3x + 2x^2)

using logarithmic properties and series expansion.

Practice All Chapter MCQs →

A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

{x^2},{b^2},{y^2}

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

Q(y)=a_0+a_1 y+\ldots+a_{2012} y^{2012}

y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

A P

a, b

G P

a, b, c

\frac{3}{4}