Roboguru

begin mathsize 12px style limit as x rightwards arrow 0 of square root of fraction numerator x space tan space x over denominator sin squared space x minus cos space 2 x plus 1 end fraction end root equals... end style

  1. 3

  2. begin mathsize 12px style square root of 3 end style

  3. begin mathsize 12px style fraction numerator square root of 3 over denominator 3 end fraction end style

  4. begin mathsize 12px style 1 third end style

  5. begin mathsize 12px style fraction numerator square root of 3 over denominator 2 end fraction end style

Jawaban:

size 12px lim with size 12px x size 12px rightwards arrow size 12px 0 below square root of fraction numerator size 12px x size 12px space size 12px tan size 12px space size 12px x over denominator size 12px sin to the power of size 12px 2 size 12px space size 12px x size 12px minus size 12px cos size 12px space size 12px 2 size 12px x size 12px plus size 12px 1 end fraction end root  size 12px equals size 12px lim with size 12px x size 12px rightwards arrow size 12px 0 below square root of fraction numerator size 12px x size 12px space size 12px tan size 12px space size 12px x over denominator size 12px sin to the power of size 12px 2 size 12px space size 12px x size 12px minus open parentheses size 12px 1 size 12px minus size 12px 2 size 12px space size 12px sin to the power of size 12px 2 size 12px space size 12px x close parentheses size 12px plus size 12px 1 end fraction end root  size 12px equals size 12px lim with size 12px x size 12px rightwards arrow size 12px 0 below square root of fraction numerator size 12px x size 12px space size 12px tan size 12px space size 12px x over denominator size 12px sin to the power of size 12px 2 size 12px space size 12px x size 12px plus size 12px 2 size 12px space size 12px sin to the power of size 12px 2 size 12px space size 12px x size 12px minus size 12px 1 size 12px plus size 12px 1 end fraction end root  size 12px equals size 12px lim with size 12px x size 12px rightwards arrow size 12px 0 below square root of fraction numerator size 12px x size 12px space size 12px tan size 12px space size 12px x over denominator size 12px 3 size 12px space size 12px sin to the power of size 12px 2 size 12px space size 12px x end fraction end root  size 12px equals size 12px lim with size 12px x size 12px rightwards arrow size 12px 0 below square root of fraction numerator horizontal strike size 12px x size 12px space size 12px tan size 12px space size 12px x end strike over denominator size 12px 3 size 12px space horizontal strike size 12px sin size 12px space size 12px x end strike size 12px. horizontal strike size 12px sin size 12px space size 12px x end strike end fraction end root  size 12px equals square root of size 12px 1 over size 12px 3 end root  size 12px equals size 12px 1 over size 12px 3 square root of size 12px 3

0

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