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ESE 2021 Technical Quiz || "Multivariable Calculus Limits, Continuity and Differentiability"
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Question 1
The limit of the function will be:
Question 2
Determine the coordinates of the point which is on the parabola 
and which is closest to the straight line y = 3x -3 are
and which is closest to the straight line y = 3x -3 are
Question 3
In the mean value theorem f(b) – f(a) = (b – a) f’(c) where c is lying between a and b. Find the value of c, if f(x) = x(x – 1) (x – 2), a = 0 and 
.
.Question 4
A function is expressed as:
f(x) = 
The values of a, b, and c respectively for which function will be continuous and differentiable everywhere.
Question 5
is:
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Sep 4ESE & GATE EE
