Calculus-Limits

Lim _x→0+ ln x

negative infinity

Lim _x→∞ ln x

Positive infinity

Lim _x→∞ e^x

Positive Infinity

Lim _x→-∞ e^x

0

Lim _x→0 x^k ln x

zero for all values greater than zero

Lim _x→0 sinx/x

1

Lim _x→0 1-cosx/x

Zero

Lim _x→∞ sinx/x

Zero

Lim _x→0 x^p

zero for any positive p

Lim _x→0+ x^p ln x

zero for any positive p

Lim _x→∞ 1/x^p

zero for any p greater than zero

Lim _x→∞ x^p e^-x

zero for any p

Lim _x→0+ x^x

1

sin 0

0

cos 0

1

lim_x→pi/2 sin x

1

lim_x→pi/2 cos x

0