Evaluate the following limits: (a) lim(5x+1) as x->2, (b) lim(2x2+6x-2) as x->1, (c) lim((x2-1)/(x-1)) as x->1, (d) lim(6x-2) as x->1, (e) lim(2x2+x) as x->-2

Here are the solutions to the limit problems:

d) Evaluate $\lim_{x \to 2} (6x-2)$

Step 1: Substitute the value $x=2$ into the function. Since $6x-2$ is a polynomial function, we can find the limit by direct substitution. $6(2) - 2$ Step 2: Perform the multiplication. $12 - 2$ Step 3: Perform the subtraction. $10$ The limit is $\boxed{10}$.

e) Evaluate $\lim_{x \to -2} (2x^2+x)$

Step 1: Substitute the value $x=-2$ into the function. Since $2x^2+x$ is a polynomial function, we can find the limit by direct substitution. $2(-2)^2 + (-2)$ Step 2: Evaluate the exponent. $2(4) + (-2)$ Step 3: Perform the multiplication. $8 - 2$ Step 4: Perform the subtraction. $6$ The limit is $\boxed{6}$.