Identify function and point: Identify the function and the point at which we need to find the limit. We are given the function f(x)=6x2+5x−1 and we need to find the limit as x approaches −1.
Substitute value into function: Substitute the value of x into the function.Since the function is a polynomial, which is continuous everywhere, we can directly substitute the value of x=−1 into the function to find the limit.f(−1)=6(−1)2+5(−1)−1
Calculate function value: Calculate the value of the function at x=−1.f(−1)=6(1)+5(−1)−1f(−1)=6−5−1f(−1)=0