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Q 2 Find the following limit if it exists: lim,+25C 25Vx-5

Question
Q 2 Find the following limit if it exists: lim,+25
C 25
Vx-5
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Q 2 Find the following limit if it exists: lim,+25 C 25 Vx-5

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Step 1

The given limit is

x-25
-5
x-25
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x-25 -5 x-25

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Step 2

It is required to find the value of limit if it exists.

x-25
lim 5
x25
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x-25 lim 5 x25

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Step 3

Evaluating the valu...

2 im Vx-5)(x+ 5) Factorize (x-25) using,
a-b(a-b)a+b),
х- 25
lim
x25
х — 25
or, lim =lim (Vx +5)
x25
x25
x-25
lim
x25 x-5
/25 +5)
x-25
lim 5
5 5
x25
x-25
lim
25 Vx-5
10
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2 im Vx-5)(x+ 5) Factorize (x-25) using, a-b(a-b)a+b), х- 25 lim x25 х — 25 or, lim =lim (Vx +5) x25 x25 x-25 lim x25 x-5 /25 +5) x-25 lim 5 5 5 x25 x-25 lim 25 Vx-5 10

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Tagged in

Math

Calculus

Limits

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