Evaluate the limit limx rightarrow 0 5x2 2sin2 x21 x2 Solut

Evaluate the limit: lim_x rightarrow 0 5x^2 + 2sin^2 x/21 x^2

lim_{x -> 0} ( 5 x² + 2sin ²x )/ 21 x ² { lim_{x -> 0} ( sin x )/x = 1 }

= lim_{x -> 0} (5 x²/21 x ² ) + (2sin ²x / 21 x ²)

{lim_{x -> 0} ( sin² x )/x² = 1 & since both limit exists we can add both these}

= lim_{x -> 0} 5 /21 + 2 /21

= 7 /21 = 1 /3

$Evaluate the limit: lim_x rightarrow 0 5x^2 + 2sin^2 x/21 x^2 Solutionlimx -> 0 ( 5 x2 + 2sin 2x )/ 21 x 2 { limx -> 0 ( sin x )/x = 1 } = limx -> 0 ($

Evaluate the limit limx rightarrow 0 5x2 2sin2 x21 x2 Solut

Solution

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