Pertanyaan

Nilai dari x → 0 lim 2 x 2 cos 4 x − 1 = ....

Nilai dari $x \to 0 lim \frac{cos 4 x - 1}{2 x ^{2}} = ....$

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Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari $size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px cos size 14px space size 14px 4 size 14px x size 14px space size 14px minus size 14px space size 14px 1 over denominator size 14px 2 size 14px x to the power of size 14px 2 end fraction size 14px equals size 14px minus size 14px 4$ .

Pembahasan

Dengan menerapkan konsep limit Jadi,nilai dari .

Dengan menerapkan konsep limit $begin mathsize 14px style limit as straight x rightwards arrow 0 of fraction numerator sin space ax over denominator bx end fraction equals straight a over straight b end style$

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px cos size 14px space size 14px 4 size 14px x size 14px space size 14px minus size 14px space size 14px 1 over denominator size 14px 2 size 14px x to the power of size 14px 2 end fraction end cell size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px cos size 14px space size 14px 4 size 14px x size 14px space size 14px minus size 14px space size 14px 1 over denominator size 14px 2 size 14px x size 14px. size 14px x end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px 1 size 14px minus size 14px 2 size 14px sin to the power of size 14px 2 size 14px 2 size 14px x size 14px minus size 14px 1 over denominator size 14px 2 size 14px x to the power of size 14px 2 end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px minus size 14px 2 size 14px sin to the power of size 14px 2 size 14px 2 size 14px x over denominator size 14px 2 size 14px x to the power of size 14px 2 end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px minus size 14px sin to the power of size 14px 2 size 14px 2 size 14px x over denominator size 14px x to the power of size 14px 2 end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px minus size 14px sin size 14px 2 size 14px x over denominator size 14px x end fraction size 14px. size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px sin size 14px 2 size 14px x over denominator size 14px x end fraction end cell row blank size 14px equals cell size 14px minus size 14px 2 size 14px cross times size 14px 2 end cell row blank size 14px equals cell size 14px minus size 14px 4 end cell end table$

Jadi,nilai dari $size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px cos size 14px space size 14px 4 size 14px x size 14px space size 14px minus size 14px space size 14px 1 over denominator size 14px 2 size 14px x to the power of size 14px 2 end fraction size 14px equals size 14px minus size 14px 4$ .