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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
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2 partsStep-by-step solution
7 stepsHere are the solutions to the limit problems:
Part d· 3 steps
Evaluate
Substitute the value into the function.
Since is a polynomial function, we can find the limit by direct substitution.
Perform the multiplication.
Perform the subtraction.
The limit is .
Part e6
Evaluate
Substitute the value into the function.
Since is a polynomial function, we can find the limit by direct substitution.
Evaluate the exponent.
Perform the multiplication.
Perform the subtraction.
The limit is .
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