Question

can someone help me with this please: lim x-->5
cube root (3x^2-4x+9)

Answer 1

4

Answer 2

Since the cube root function is continuous for all x and so is the polynomial radicand, we can find the limit by direct substitution of x=5. 3*5^2-4(5)+9=75-20+9=64 and the cube root of 64 is 4. So your answer is in fact 4.

Answer 3

\[\sqrt[3]{3*5^2-4*5+9}=\sqrt[3]{75-20+9}=\sqrt[3]{64}=4\]

Answer 4

this is solveable via scientific calculator

Answer 5

thank you!