Question

x趋向正无穷,求(√(4x^2+x)-2x)极限

Answer 1

lim(x->无穷大) (√(4x^2+x)-2x)

=lim(x->无穷大) x/(√(4x^2+x)+2x)

=lim(x->无穷大) 1/(√(4+(1/x))+2)

=lim(x->无穷大) 1/(√(4+(1/x))+2)

=1/(2+2)

=1/4