plss answer it without spam
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ishitapathuri:
she asked not to Spam nd ur just spamming
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hope this helps .....for any queries do ask me
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Answered by
1
the answer should be solved by using the derivative formula
Because
f
(
x
)
is differentiable at
x
=
a
we know that
f
′
(
a
)
=
lim
x
→
a
f
(
x
)
−
f
(
a
)
x
−
a
exists. We’ll need this in a bit.
If we next assume that
x
≠
a
we can write the following,
f
(
x
)
−
f
(
a
)
=
f
(
x
)
−
f
(
a
)
x
−
a
(
x
−
a
)
Then basic properties of limits tells us that we have,
lim
x
→
a
(
f
(
x
)
−
f
(
a
)
)
=
lim
x
→
a
[
f
(
x
)
−
f
(
a
)
x
−
a
(
x
−
a
)
]
=
lim
x
→
a
f
(
x
)
−
f
(
a
)
x
−
a
lim
x
→
a
(
x
−
a
)
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