#### Answer

75

#### Work Step by Step

When solving limits, the first step to attempt is direct substitution, meaning plugging in the value of what the limit is approaching into the equation. In this case, plugging in $\mathbf{4}$ into the function $\mathbf{5x^2-2x+3}$ for $\mathbf{x}$ will give you $\mathbf{5*4^2-2*4+3=75}$