Q32 / 90 · NTA Abhyas (JEE Main) 2020 · Mathematics · Limits

The value of limx→0⁡9ln⁡2-cos⁡25x5ln2sin⁡3x+1⁡ is equal to

Correct answer: 62.5

Solution

limx→0⁡9ln2-cos⁡25x5ln2sin⁡3x+1=limx→0⁡9ln1+1-cos⁡25x5ln21+sin⁡3x
=limx→0⁡91-cos⁡25x5sin⁡3x2
⇒limx→0⁡925x2103x2=62510=62.5

Hence, the correct answer is 62.5.

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