8-68 Find the limit. Use IHospitals Rule where appropriate. If there is a more elementary method, consider using it. If IHospitals Rule doesnt apply, explain why. lim01+cos1cos
Step-by-Step Solution
To determine
To evaluate:limθ→π1+cosθ1−cosθ
Answer
limθ→π1+cosθ1−cosθ=0
Explanation
Calculations:
limθ→π1+cosθ1−cosθ=1+cosπ1−cosπ=1−11−(−1)=02=0
Conclusion: The value of the limit is limθ→π1+cosθ1−cosθ=0