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Exercise

$\lim_{x\to\frac{\pi}{2}}\left(-\frac{1+4secx}{1+6tanx}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{\frac{\pi }{2}}}\left(\frac{-\left(1+4\sec\left(x\right)\right)}{1+6\tan\left(x\right)}\right)$ by replacing all occurrences of $x$ by $\frac{\pi }{2}$

$\frac{-\left(1+4\sec\left(\frac{\pi }{2}\right)\right)}{1+6\tan\left(\frac{\pi }{2}\right)}$

Final answer to the exercise

$\frac{-\left(1+4\sec\left(\frac{\pi }{2}\right)\right)}{1+6\tan\left(\frac{\pi }{2}\right)}$

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  • Product of Binomials with Common Term
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