Integration Techniques and L’Hopital’s Rule - Answer 1


	Integration Techniques and L’Hopital’s Rule

lim_x→∞√(x+1) - √(x)

Rationalize the numerator
[√(x+1) - √(x)][√(x+1) + √(x)]
√(x+1) + √(x)

x + 1 - x
√(x+1) + √(x)

Solve the limit
lim_x→∞	1
	√(x+1) + √(x)
= 0

Study Sheet - Integration Techniques and L’Hopital’s Rule