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10 Hard & Complicated Equations for 16
Here are some pre-generated hard and complicated equations that equal 16. These random math formulas are perfect for challenges. Copy the LaTeX code or use our generator above for more.
Variation 1
${ \left({{\lim_{x \to 0}{ {-\ln(1 + 2(e^{-x} - 1))} \over {x} }} - {\lim_{x \to 21} {{x^2 - 9} \over {x - 3}}}}\right) \left({\left({{\lim_{x \to 0} {{x^2 - 81} \over {x - 9}}} - \lim_{{x\to 17}}(\cos^2x + \sin^2x)}\right) + {\sum\limits_{k=0}^\infty {\left({23 \over {24}}\right)^{k}}}}\right) + {{-24e^{\pi i}}}{\left({\left({{-9e^{\pi i}} - \lim_{{x\to 14}}(\cos^2x + \sin^2x)}\right) - {\prod_{k=1}^{2} k} + {\lim_{x \to 0}{ {-\ln(1 + 24(e^{-x} - 1))} \over {x} }}} \right)} }$
Variation 2
${ {\left({\lim_{x \to 0}{ {e^x - 1} \over {x} }}\right)}^2 + {{\prod_{k=1}^{2} k}}{\left({\prod_{k=1}^{1} k}\right)}{\left({\lim_{x \to -6} {{x^2 - 81} \over {x - 9}}}\right)} + {\left({\lim_{x \to \infty}{{ 15x^{4} + 11x } \over {{ 5x^{4} - 7x }}}}\right)}^2}$
Variation 3
${\lim_{x \to -5} {{x^2 - 49} \over {x - 7}}} \times {{\prod_{k=1}^{3} k}} + {\sum\limits_{k=0}^\infty {\left({3 \over {4}}\right)^{k}}}$
Variation 4
${\lim_{x \to \infty}{x^{1/x}}} \times {{\lim_{x \to 0}{ {e^{9x} - 1} \over {x} }}} + {\lim_{x \to 16} {{x^2 - 81} \over {x + 9}}}$
Variation 5
${ {\left({\lim_{x \to 0}{ {e^x - 1} \over {x} }} + {\sum\limits_{k=0}^\infty {\left({2 \over {3}}\right)^{k}}}\right)}^2}$
Variation 6
${{\left({{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}\right)}{\left({{\lim_{x \to 0}{ {-\ln(1 + 2(e^{-x} - 1))} \over {x} }}}\right)}}$
Variation 7
${\lim_{x \to 0}{ {e^x - 1} \over {x} }} \times {\left({{\lim_{x \to \infty}{{ 22x^{4} - 3x^{3} + 9x^{2} - 11x } \over {{ 2x^{4} + 7x^{2} + 11x }}}} \over {\lim_{{x\to 14}}(\cos^2x + \sin^2x)}}\right)} + {\lim_{x \to 13} {{x^2 - 64} \over {x + 8}}}$
Variation 8
${ \left({{\sum\limits_{k=0}^\infty {\left({15 \over {16}}\right)^{k}}} - {\Gamma (4)}}\right) \left({{\lim_{x \to 0}{ {e^x - 1} \over {x} }} + \left({{\lim_{x \to 4} {{x^2 - 9} \over {x - 3}}} - \lim_{{x\to 2}}(\cos^2x + \sin^2x)}\right)}\right) + {{\lim_{x \to 0}{ {-\ln(1 + 6(e^{-x} - 1))} \over {x} }}}{\left({{\lim_{x \to 0}{ {e^x - 1} \over {x} }} - {\lim_{x \to 12} {{x^2 - 16} \over {x - 4}}} + {\lim_{x \to 0}{ {-\ln(1 + 6(e^{-x} - 1))} \over {x} }}} \right)} }$
Variation 9
${ \left({{\lim_{x \to \infty}{{ 6x^{2} + 5x } \over {{ 3x^{2} - 2x }}}} - {\lim_{x \to 17} {{x^2 - 81} \over {x + 9}}}}\right) \left({{\lim_{x \to 0}{ {-\ln(1 + 8(e^{-x} - 1))} \over {x} }} + {\lim_{x \to 0}{ {-\ln(1 + 8(e^{-x} - 1))} \over {x} }}}\right) + {{\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}}{\left({{\lim_{x \to \infty}{{ 16x^{4} - 4x } \over {{ 2x^{4} + 8x^{2} + 11x }}}} - {\lim_{x \to 0}{ {e^{2x} - 1} \over {x} }} + {\sum\limits_{k=0}^\infty {\left({7 \over {8}}\right)^{k}}}} \right)} }$
Variation 10
${ {\left(\left({{\sum\limits_{k=0}^\infty {\left({1 \over {2}}\right)^{k}}} \times \lim_{{x\to 20}}(\cos^2x + \sin^2x)}\right) + {\Gamma (3)}\right)}^2}$
