# Posts by Mishaka

Total # Posts: 105

**calculus**

How many roots does the graph of this function have? 4x^4 - 4^x I believe that it either has two or three roots.

**calculus**

What is the limit of the function as x approaches infinity? (x^4 - 7x + 9) / (4 + 5x + x^3) From what I know, the limit should be infinity since the greater exponent is in the numerator. However, I am only given the options: 0, (1/4), 1, 4, or Does not exist. Is there an error...

**calculus**

What is the limit of the function as x approaches infinity? 4x^4 - 4^x Would the limit be positive infinity or negative infinity?

**Calculus**

What is the limit of this function as x approaches 0? cos(x) - 1 / x From what I gather, the limit is equal to 0, since on the right, the function approaches from negative values close to zero and on the left, it approaches 0 with positive values close to zero. Would this be ...

**calculus**

What is the limit of this function as x approaches infinity? 2^x + x^3 / x^2 + 3^x