Determine the following limits. 

lim x→−∞ (x+ √x^2−5x)

Determine the following limits. 

lim x→∞ sin x / e^x

Determine the following limits. 

lim x→−∞ (e^x cos x +3)

Describe the end behavior of g(x) = e^-2x.

Determine the following limits. 

lim t→∞ (5t² + t sin t) / t²

Determine the following limits. 

lim x→−∞ (5 + 100/x + sin⁴ x³ / x²)

Determine the following limits. 

lim x→∞ (3x¹² − 9x⁷)

Determine the following limits. 

lim x→−∞ (3x⁷ + x²)