Mister Exam

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Limit of the function:
Limit of (e^x-e^2)/(-2+x)
Limit of (-asin(x)+2*x)/(2*x+atan(x))
Limit of 2^(-n)*2^(1+n)
Limit of (-6+x^2-x)/(9+x^2-6*x)
Identical expressions
(cot(x)/ two)^(one /cos(x))
( cotangent of (x) divide by 2) to the power of (1 divide by co sinus of e of (x))
( cotangent of (x) divide by two) to the power of (one divide by co sinus of e of (x))
(cot(x)/2)(1/cos(x))
cotx/21/cosx
cotx/2^1/cosx
(cot(x) divide by 2)^(1 divide by cos(x))
Similar expressions
(cot(x)/2)^(1/cosx)

Limit of the function/ (cot(x)/2)^(1/cos(x))

Limit of the function (cot(x)/2)^(1/cos(x))

The solution

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                1   
              ------
              cos(x)
      /cot(x)\      
 lim  |------|      
   pi \  2   /      
x->--+              
   2

\lim_{x \to \frac{\pi}{2}^+} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}

Limit((cot(x)/2)^(1/cos(x)), x, pi/2)

Lopital's rule

There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type

The graph

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Rapid solution [src]

oo

\infty

Expand and simplify

One‐sided limits [src]

                1   
              ------
              cos(x)
      /cot(x)\      
 lim  |------|      
   pi \  2   /      
x->--+              
   2

\lim_{x \to \frac{\pi}{2}^+} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}

oo

\infty

= (-1.56378958503566e-6 - 5.80704762752308e-6j)

                1   
              ------
              cos(x)
      /cot(x)\      
 lim  |------|      
   pi \  2   /      
x->---              
   2

\lim_{x \to \frac{\pi}{2}^-} \left(\frac{\cot{\left(x \right)}}{2}\right)^{\frac{1}{\cos{\left(x \right)}}}

0

= 8.04967566078371e-35

= 8.04967566078371e-35

Numerical answer [src]

(-1.56378958503566e-6 - 5.80704762752308e-6j)

(-1.56378958503566e-6 - 5.80704762752308e-6j)

The graph

Limit of the function (cot(x)/2)^(1/cos(x))

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Identical expressions

Similar expressions

Limit of the function (cot(x)/2)^(1/cos(x))

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The solution