What is the limit of this function?

$\begin{array}{l} \mathop {\lim }\limits_{x \to 0} \frac{{{{27}^x} - {9^x} - {3^x} + 1}}{{\sqrt 5 - \sqrt {4 + \cos \left( x \right)} }} = \\ = \mathop {\lim }\limits_{x \to 0} \frac{{{9^x}\left( {{3^x} - 1} \right) - \left( {{3^x} - 1} \right)}}{{\sqrt 5 - \sqrt {4 + \cos \left( x \right)} }}\\ = \mathop {\lim }\limits_{x \to 0} \frac{{\left( {{3^x} - 1} \right)\left( {{9^x} - 1} \right)}}{{\sqrt 5 - \sqrt {4 + \cos \left( x \right)} }}\\ = \mathop {\lim }\limits_{x \to 0} \frac{{\frac{{\left( {{3^x} - 1} \right)\left( {{9^x} - 1} \right)}}{{{x^2}}}}}{{\frac{{\sqrt 5 - \sqrt {4 + \cos \left( x \right)} }}{{{x^2}}} \times \frac{{\sqrt 5 + \sqrt {4 + \cos \left( x \right)} }}{{\sqrt 5 + \sqrt {4 + \cos \left( x \right)} }}}}\\ = \mathop {\lim }\limits_{x \to 0} \frac{{\frac{{{3^x} - 1}}{x} \times \frac{{{9^x} - 1}}{x}}}{{\frac{{5 - \left( {4 + \cos \left( x \right)} \right)}}{{{x^2}\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)}}}}\\ = \frac{{\mathop {\lim }\limits_{x \to 0} \left( {\frac{{{3^x} - 1}}{x} \times \frac{{{9^x} - 1}}{x}} \right)}}{{\mathop {\lim }\limits_{x \to 0} \frac{{1 - \cos \left( x \right)}}{{{x^2}\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)}} \times \frac{{1 + \cos \left( x \right)}}{{1 + \cos \left( x \right)}}}}\\ = \frac{{\ln \left( 3 \right) \times \ln \left( 9 \right)}}{{\mathop {\lim }\limits_{x \to 0} \frac{{1 - {{\cos }^2}\left( x \right)}}{{{x^2}\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)\left( {1 + \cos \left( x \right)} \right)}}}}\\ = \frac{{\ln \left( 3 \right) \times \ln {{\left( 3 \right)}^2}}}{{\mathop {\lim }\limits_{x \to 0} \frac{{se{n^2}\left( x \right)}}{{{x^2}\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)\left( {1 + \cos \left( x \right)} \right)}}}}\\ = \frac{{\ln \left( 3 \right) \times 2\ln \left( 3 \right)}}{{\mathop {\lim }\limits_{x \to 0} \frac{{se{n^2}\left( x \right)}}{{{x^2}}} \times \mathop {\lim }\limits_{x \to 0} \frac{1}{{\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)\left( {1 + \cos \left( x \right)} \right)}}}}\\ = \frac{{2{{\ln }^2}\left( 3 \right)}}{{\mathop {\lim }\limits_{x \to 0} {{\left( {\frac{{sen\left( x \right)}}{x}} \right)}^2} \times \mathop {\lim }\limits_{x \to 0} \frac{1}{{\left( {\sqrt 5 + \sqrt {4 + \cos \left( x \right)} } \right)\left( {1 + \cos \left( x \right)} \right)}}}}\\ = \frac{{2{{\ln }^2}\left( 3 \right)}}{{{{\left( 1 \right)}^2} \times \frac{1}{{\left( {\sqrt 5 + \sqrt {4 + \cos \left( 0 \right)} } \right)\left( {1 + \cos \left( 0 \right)} \right)}}}}\\ = \frac{{2{{\ln }^2}\left( 3 \right)}}{{\frac{1}{{\left( {\sqrt 5 + \sqrt 5 } \right)\left( {1 + 1} \right)}}}}\\ = \frac{{2{{\ln }^2}\left( 3 \right)}}{{\frac{1}{{\left( {2\sqrt 5 } \right) \times \left( 2 \right)}}}}\\ = 2{\ln ^2}\left( 3 \right) \times \left( {4\sqrt 5 } \right)\\ = 8\sqrt 5 {\left( {\ln \left( 3 \right)} \right)^2} \end{array}$