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Exercise

lim⁡x→π2(sec(x)−tan(x))\lim_{x\to\frac{\pi}{2}}\left(sec\left(x\right)-tan\left(x\right)\right)

Step-by-step Solution

1

Evaluate the limit lim⁡x→π2(sec⁡(x)−tan⁡(x))\lim_{x\to{\frac{\pi }{2}}}\left(\sec\left(x\right)-\tan\left(x\right)\right) by replacing all occurrences of xx by π2\frac{\pi }{2}

sec⁡(π2)−tan⁡(π2)\sec\left(\frac{\pi }{2}\right)-\tan\left(\frac{\pi }{2}\right)

Final answer to the exercise

sec⁡(π2)−tan⁡(π2)\sec\left(\frac{\pi }{2}\right)-\tan\left(\frac{\pi }{2}\right)

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limx→π2 (sec(x)−tan(x))
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