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Commerce Exam  >  Commerce Tests  >  Mathematics (Maths) Class 11  >  Test: Limits Of Rational Functions - Commerce MCQ

Test: Limits Of Rational Functions - Commerce MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Limits Of Rational Functions

Test: Limits Of Rational Functions for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Limits Of Rational Functions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Limits Of Rational Functions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Limits Of Rational Functions below.
Solutions of Test: Limits Of Rational Functions questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Limits Of Rational Functions solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Limits Of Rational Functions | 10 questions in 10 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
Test: Limits Of Rational Functions - Question 1
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The value of the limit  ​

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Test: Limits Of Rational Functions - Question 2
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The value of the limit 

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 lim (x2-9)/x3+9x-6x2
Lim x=0
lim[(0)2 - 9]/ (0)3 + 9(0) - 6(0)2
-9/0 (which is not defined)

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Test: Limits Of Rational Functions - Question 3
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Test: Limits Of Rational Functions - Question 4
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What is the value of the limit ?
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Test: Limits Of Rational Functions - Question 5
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The value of the limit ​
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 lt x->-2 (1/x + 1/2) / x+2
lt x->-2 (2+x)/2x(x+2)
lt x->-2 (1/2x)
= 1/2(-2) = -¼

Test: Limits Of Rational Functions - Question 6
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The value of the limit  
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lim x → 2 [(2x - 4) (2x - 2) ((√2x) + 2)]/[(√2x - 2) (√2x - 2)]
= lim x → 2 [(2x - 4) (2 *4)]/(√2x - 2)
= 2 lim(x → 2) [(√2x)2 - (2)2]/(√2x - 2)
= 2 lim(x → 2) [(√2x)2 + 2) (√2x)2 - 2)]/(√2x - 2)
= 8

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Test: Limits Of Rational Functions - Question 8
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The value of the limit

 
Test: Limits Of Rational Functions - Question 9
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Test: Limits Of Rational Functions - Question 10
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 limx→1x9−1/x5−1 has indeterminate initial form (it has form 0/0). Therefore 1is a zero and x−1 a factor of both the numerator and the denominator.
limx→1 x10−1/x5−1
= limx→1[(x−1)(x8+x7+x4….⋅+x+1)]/(x−1)(x5+x6+x4+⋅⋅⋅+x+1)
= (1+1+1+1+.....upto 10 terms)/(1+1+1+⋅⋅⋅upto 5 terms)
= 10/5 = 2 

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