Evaluate limits by substitution or by factorising

Question 1

Find lim(x→1) (3x² + 5x + 8).

Answer 

Question 2

Find lim(x→−5) (x² − 25)/(x² + 3x − 10). Give a fraction if needed.

Answer (as a fraction)

Question 3

Find lim(x→1) (x² − 6x + 5)/(x − 1).

Answer 

Question 4

Find lim(x→−4) (3x² + x − 9).

Answer 

Question 5

Find lim(x→2) (x² − 4)/(x² − x − 2). Give a fraction if needed.

Answer (as a fraction)

Question 6

Find lim(x→−1) (x² + 6x + 5)/(x + 1).

Answer 

Question 7

Find lim(x→−3) (x² − x + 2).

Answer 

Question 8

Find lim(x→2) (x² − 4)/(x² − 5x + 6). Give a fraction if needed.

Answer (as a fraction)

Question 9

Find lim(x→2) (x² − 6x + 8)/(x − 2).

Answer 

Question 10

Find lim(x→−2) (2x² + 6x − 3).

Answer 

Question 11

Find lim(x→−4) (x² − 16)/(x² + 2x − 8). Give a fraction if needed.

Answer (as a fraction)

Question 12

Find lim(x→−3) (x² + 2x − 3)/(x + 3).

Answer 

Question 13

Find lim(x→−4) (3x² − 3x − 1).

Answer 

Question 14

Find lim(x→2) (x² − 4)/(x² − x − 2). Give a fraction if needed.

Answer (as a fraction)

Question 15

Find lim(x→1) (x² − 3x + 2)/(x − 1).

Answer 

Question 16

Find lim(x→−3) (x² − 3x + 7).

Answer