Find the following limits or state that they do not exist. Assume a, b, c, and k

ankarskogC

ankarskogC

Answered question

2021-10-12

Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numbers.
limx0xcx+11,c0

Answer & Explanation

unett

unett

Skilled2021-10-13Added 119 answers

Given:
limx0xcx+11,c0
Now,
limx0(xcx+11×cx+1+1cx+1+1)
=limx0(x(cx+1+1)cx+11)
=limx0(x(cx+1+1)cx)
=limx0(cx+1+1c)
=(c×0+1+1c)
=1+1c
=2c
Jeffrey Jordon

Jeffrey Jordon

Expert2022-07-04Added 2605 answers

Answer is given below (on video)

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