Limits and Integrals..Beautiful Combo..!!!!!!
Calculus
Level
pending
The value of the limit.
The answer is 3.
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Recalling the basics of integration which is area under a curve
Considering curve given by eqn
y^(2)= x^(2) + 8 .......(1)
The integral is area under curve from x=1 to x=1+3h
Since h→0 the area of infinitesimal strip is given by
I = y×3h
At x=1 ,y =3 from eqn (1).
Therefore integral becomes
I=3×3h
For h→0 I/3h = 3×3h/3h = 3