JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Medium

1 of 1

Understanding +4 | -1

The value of the series

x\,\,{\log _e}a + \frac{{{x^3}}}{{3!}}\,{\left( {{{\log }_e}a} \right)^3} + \frac{{{x^5}}}{{5!}}\,\,{\left( {{{\log }_e}a} \right)^5} + ...

View answer and explanation

Correct option: C

\sinh \,\,\left( {x{{\log }_e}\,\,a} \right)

Option C (

\sinh \,\,\left( {x{{\log }_e}\,a} \right)

) is correct because the given series is the Taylor series expansion of sinh(x log a).

More Questions from SEQUENCE OF SERIES

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}