limit of logs and es

Question

lim as x approaches infinity of ln (3)

 

lim as x approaches infinity of ln (3-4x)

 

lim as x approaches infinity of -1/5 (e ^ - 5x)

 

lim as x approaches infinity of -1/5 (e ^ -10)

 

Answer 1

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Answer 2

lim as x approaches infinity of ln (3)  =  ln 3 (because it's a constant

lim as x approaches infinity of ln (3-4x) does not exist because argument 3-4x > 0 requirement is violated domain violation]

lim as x approaches infinity of -1/5 (e ^ - 5x)...the part e^-infinity goes to zero so answer is zero

lim as x approaches infinity of -1/5 (e ^ -10)...again, this limit is the stated constant: -(e^-10)/5