Eamcet - Maths - Logarithmic Series Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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If n=3m then the coefficient of xn in the expansion of log(1+x+x2) is





If x is very small and neglecting x3 and higher powers of x then the expansion of log(1+x2)-log(1+x)-log(1-x) as ascending powers of x is





The coefficient of xn in the expansion of loge(1+3x+2x2) is





The 7th term of loge(5/4) is





If |x|





Coeff. of x3 in log(1 + x + x2)





The value of the series x logea+ x3/3! (logea)3+x5/5! (logea)5+...... is :





The sum of the series log42-log82+log162-… is





If log27 (log3 x) = 1/3, then the value of x is :





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