Q12 / 90 · NTA Abhyas (JEE Main) 2020 · Mathematics · Limits

The value of limx→0e-x22-cos⁡xx3tan⁡x is equal to

  • A
    14
  • B
    18
  • Correct answer
    C
    112
  • D
    116

Solution

Using expansion,
 limx→01+-x22+x442!+....-1-x22!+x24!-....x3x+x33+....
limx→01-1+-x22+x22+x48-x424+....x3x+x33+....
⇒18-124=112

Hence, the correct answer is option: 'C'.

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