Determine the following limits.

lim x→3 x^4 − 81 / x − 3

Determine the following limits.

lim p→1 p^5 − 1 / p − 1

Determine the following limits.

lim x→5 x − 7 / x(x − 5)^2

Determine the following limits.

lim x→−5^+ x − 5 / x + 5

Determine the following limits.

lim x→1^− x/ ln x

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

lim x→−95x

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

lim x→1(2x^3−3x^2+4x+5)

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

lim x→1 5x^2 + 6x + 1 / 8x − 4