Evaluate the following limits:

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Multiplying and Dividing by 3θ in numerator & Multiplying and Dividing by 2θ in the denominator:



We know,

Therefore,

As, x → 0 ⇒ 3θ → 0 & 2θ → 0

Now, put 3θ = y and 2θ = t

Formula used:
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Therefore,
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Hence, the value of ![]()
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