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  • Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Calculus. Students can understand Calculus concept easily and consolidate their learning by doing Online Practice Tests on Maths,Calculus chapter repeatedly till they excel in Class 11, Calculus. Free ONLINE PRACTICE TESTS on Class 11, Calculus comprise of Hundreds of Questions on Calculus, prepared by the highly professionals team. Every repeat test of Calculus will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Calculus. Attempt ONLINE TEST on Class 11,Maths,Calculus in Academics section after completing this Calculus Question Answer Exercise.


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Calculus
Let x be a variable and a be a constant. If x takes values closer and closer to a, then we say that x approaches to a and write it as:

a) X → a
b) X → a?
c) X → a?
d) All of these



Answer
Correct Answer Is : X → a
Solution Is :
Let x be a variable and a be a constant. If x takes values less than a and approaches to a, then we say that x tends to a from left and write it as:

a) X → a
b) X → a?
c) X → a?
d) All of these



Answer
Correct Answer Is : X → a?
Solution Is :
Let x be a variable and a be a constant. If x takes values greater than a and approaches to a, then we say that x tends to a from right and write it as:

a) X → a
b) X → a?
c) X → a?
d) All of these



Answer
Correct Answer Is : X → a?
Solution Is :
True or false: if δ is small positive number such that a-δ < x < a+δ,that is x belongs to the open interval (a-δ,a+δ), this open interval is called δ neighbourhood of a

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : TRUE
Solution Is :
If δ is small positive number such that a-δ < x < a+δ,that is x belongs to to the open interval ___________ .

a) (a-δ,a+δ)
b) (a+δ,a-δ)
c) (-δ,+δ)
d) (a-δ,δ)



Answer
Correct Answer Is : (a-δ,a+δ)
Solution Is :
As x → a we have x ≠ a, it means ____________.

a) X ∊ Nδ(a) + {a}
b) X ∊ Nδ(a) - {a}
c) X ∊ Nδ(a) - {x}
d) X ∊ Nδ(x) - {a}



Answer
Correct Answer Is : X ∊ Nδ(a) - {a}
Solution Is :
A function f(x) is said to have a limit l to x tends to a if for every _________.

a) ∊ = 0
b) ∊ < 0
c) ∊ > 0
d) All of these



Answer
Correct Answer Is : ∊ > 0
Solution Is :
Evaluate: lim (x →a) (x7 - a7 / x - a )

a) A7
b) 7 a7
c) 7 a6
d) 6 a7



Answer
Correct Answer Is : 7 a6
Solution Is :
Find value of k, if lim(x→1)(x4 - 1 / x - 1 ) = lim(x→k)(x3 - k3 / x2 - k2 )

a) 8
b) 3
c) ( 3 / 8)
d) ( 8 / 3 )



Answer
Correct Answer Is : ( 8 / 3 )
Solution Is :
Evaluate: lim (x →27) (x(2/3) - 9 / x - 27 )

a) 1
b) 2
c) ( 1 / 2 )
d) ( 1 / 3 )



Answer
Correct Answer Is : ( 1 / 2 )
Solution Is :