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Solving: lim⁡x→x2(cos⁡(x)1−sin⁡(x))\lim_{x\to{\frac{x}{2}}}\left(\frac{\cos\left(x\right)}{1-\sin\left(x\right)}\right)
Solve instead: lim⁡x→w2(cos⁡(x)1−sen(x))\lim_{x\to\frac{w}{2}}\left(\frac{\cos\left(x\right)}{1-sen\left(x\right)}\right)
f(x)=cos(x)/(1-sin(x))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

lim⁡x→w2(cos⁡(x)1−sen(x))\lim_{x\to\frac{w}{2}}\left(\frac{\cos\left(x\right)}{1-sen\left(x\right)}\right)

Step-by-step Solution

1

Evaluate the limit lim⁡x→x2(cos⁡(x)1−sin⁡(x))\lim_{x\to{\frac{x}{2}}}\left(\frac{\cos\left(x\right)}{1-\sin\left(x\right)}\right) by replacing all occurrences of xx by x2\frac{x}{2}

cos⁡(x2)1−sin⁡(x2)\frac{\cos\left(\frac{x}{2}\right)}{1-\sin\left(\frac{x}{2}\right)}

Final answer to the exercise

cos⁡(x2)1−sin⁡(x2)\frac{\cos\left(\frac{x}{2}\right)}{1-\sin\left(\frac{x}{2}\right)}

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limx→w2 (cos(x)1−sen(x) )
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