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  • NDA Exam Mathematics Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Mathematics Calculus for NDA Exam student. This free online Mathematics study material for NDA Exam will help students in learning and doing practice on Calculus topic of NDA Exam Mathematics. The study material on Calculus, help NDA Exam Mathematics students to learn every aspect of Calculus and prepare themselves for exams by doing online test exercise for Calculus, as their study progresses in class. Kidsfront provide unique pattern of learning Mathematics with free online comprehensive study material and loads of NDA Exam Mathematics Calculus exercise prepared by the highly professionals team. Students can understand Calculus concept easily and consolidate their learning by doing practice test on Calculus regularly till they excel in Mathematics Calculus.


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 :