Question

Q. 3 Find the HCF and LCM of
51x²(x + 3)(x - 2)2 &
34x(x - 1)5(x - 2)3.​

Answer 1

Answer:

1) 747³

2) 526⁴

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Answer 2

Answer:

LHL of f(x) at x=2 is 2(2)

2

−2=6

RHL of f(x) at x=2 is 5(2)−4=6

So, f(x) is continuous at x=2.

Now let's check its derivability at x=2,

LHD of f(x) at x=2 ,

lim

h→0

{

2−h−2

f(2−h)−f(2)

}

=

−h

2(2−h)

2

−(2−h)−2(2)

2

+2

=

−h

8+2h

2

−8h−2+h−6

=7

RHD of f(x) at x=2,

lim

h→0

{

2+h−2

5(2+h)−4−5(2)+4

}=5

So, f(x) is not differentiable a x=2.

Step-by-step explanation:

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