If lim x → 0 x x 4 + 4 x 2 + 5 = k , lim x → 0 x 4 sin 1 3 x = l , Then k + l =

If limx→0xx4+4x2+5=k,limx→0x4sin13x=l, Then k+l=
  1. 0
  2. 1
  3. -1
  4. 5

Solution

Given,

limx→0xx4+4x2+5=k

⇒00+4×0+5=k

⇒k=0

Now solving limx→0x4sin13x=l

⇒0×sin∞=l

⇒0×finite value=l

⇒l=0

Then k+l=0

Asked in: AP EAMCET 2022 (04 Jul Shift 1)

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