求lim(π/4-arctgx/(1+x))的极限,当x趋近于无穷

Question

求lim(π/4-arctgx/(1+x))的极限,当x趋近于无穷

Answer 1

lim[π/4-arctanx/(1+x)]
= π/4 - limarctanx/(1+x) = π/4 - 0 = π/4