solve the above question
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Answer:
(c) 0
Step-by-step explanation:
Given--->
y = 1 + x / 1! + x² / 2! + x³ / 3! + .......................
To find ----> ( dy / dx ) - y = ?
Solution---> ATQ,
y = 1 + x / 1! + x² / 2! + x³ / 3! + .................
We know that
eˣ = 1 + x / 1! + x² / 2! + .................
Applying it here we get,
=> y = eˣ
Now differentiating with respect to x we get,
=> dy / dx = d / dx ( eˣ )
We know that d / dx ( eˣ ) = eˣ , using it we get,
=> dy / dx = eˣ
Putting y = eˣ in it , we get,
=> dy / dx = y
=> ( dy / dx ) - y = 0
Answered by
18
answer c =0
#answerwithquality #bal
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