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## Main Question or Discussion Point

Explain how to complete these problems:

lim (x-1)^1/2 - 2/ x^2-25

x 5

lim x + 1-e^x/ x^3

x 0+

lim x^3/2 + 5x - 4/ x ln x

x infinity

lim tan x ln sin x

x pie/2-

lim (cos x)^x+1

x 0

lim (1+1/x)^5x

x infinity

lim (x-1)^1/2 - 2/ x^2-25

x 5

lim x + 1-e^x/ x^3

x 0+

lim x^3/2 + 5x - 4/ x ln x

x infinity

lim tan x ln sin x

x pie/2-

lim (cos x)^x+1

x 0

lim (1+1/x)^5x

x infinity