NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim x → 1 ⁡ x 2 5 - 2 x 5 + 1 4 x - 1 2 is equal to

Correct answer

0.01

Step-by-step solution

lim x → 1 ⁡ x 2 5 - 2 x 5 + 1 4 x - 1 2 = lim y → 1 ⁡ y 2 - 2 y + 1 4 y 5 - 1 2 (Putting x 5 = y ;   as   x → 1 ,   y → 1 ) lim y → 1 ⁡ y - 1 2 4 y - 1 2 y 4 + y 3 + y 2 + y + 1 2 = 1 25 × 4 = 0 . 01

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