Trigonometric limit problem

Jan 2020
3
0
Croatia
Hi,
I have a problem which needs to be solved without using L'Hosiptal rule.
Can anyone help me? limit.PNG
 

skeeter

Math Team
Jul 2011
3,206
1,731
Texas
try the substitution $u=\sqrt[6]{\cos{x}}$ ...

limit = $-\dfrac{1}{12}$
 
  • Like
Reactions: idontknow
Dec 2015
935
122
Earth
now the limit is \(\displaystyle \lim_{u\rightarrow 1 } \dfrac{u^3 - u^2 }{1-u^{12} }\).
 
Jan 2020
3
0
Croatia
Is the following substitution correct? cosx = t^6
 
Similar Math Discussions Math Forum Date
Calculus
Calculus
Calculus
Algebra