Question

Limit x tends to 0
$sin {x}^{0} \div {x}^{0}$
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

• Solution:-

$\tt \: lim_{x \to 0} \: \: \frac{ \sin(x)^0 }{ {x}^{0} } \\ \\ \tt \: lim_{x \to 0} \: \: (\frac{ \sin(x) }{x})^0 \\ \\ \tt \: = \: \: 1^0 \\ \\ \tt \: = \: \: 1 \: is \: answer. \\ \\ \\ \\ \\ \tt \red { \bf{ \odot Explanation}} \\ \\ \tt \: lim_{x \to 0} \: \: \frac{ \sin( \theta) }{ \theta} = 1. \\ \\ \tt \: where \: \theta \: \: is \: measued \: \: in \: \: radian.$

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More information :-

1) lim x -> 0 (θ/sinθ) = 1

2) lim x->0 (tanθ/θ) = 1

3) lim x->0 (θ/tanθ) = 1

4) lim x->0 (sin pθ/pθ) = 1

......(p constant)

5) lim x->0 (tan pθ/pθ) = 1

.......(p constant)

6) lim x->0 (pθ/sin pθ) = 1

.......(p constant)

7) lim x->0 (pθ/tan pθ) = 1

......(p constant)