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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim x → 0 ⁡ 1 - cos ⁡ 4 x 5 + cos ⁡ x x tan ⁡ 5 x is equal to

Correct answer

9.6

Step-by-step solution

The value of the limit is lim x → 0 ⁡ 2 sin 2 2 x × ⁡ 5 + cos ⁡ x x × tan ⁡ 5 x 5 x × 5 x lim x → 0 ⁡ 2 sin ⁡ 2 x 2 x 2 × 4 5 × 5 + cos ⁡ x × 5 x tan ⁡ 5 x ⇒ 2 × 1 × 4 5 × 6 × 1

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