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Question

f(x)= ∣ ∣cosxx12sinxx22xtanxx1∣ ∣ then limx0f(x)=

A
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Solution

The correct option is A 0
f(x)=∣ ∣cosxx12sinxx22xtanxx1∣ ∣
R3R3R1
f(x)=∣ ∣cosxx12sinxx22xtanxcosx00∣ ∣
=(tanxcosx)x2
Now, limx0f(x)
=limx0(tanxcosx)x2
=0

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