Calculus WorksheetsGrades 11–12
Evaluating Limits (Direct Substitution & Factoring) Worksheets
Evaluate limits of polynomials by direct substitution and rational functions by factoring and canceling removable discontinuities.
Evaluating Limits (Direct Substitution & Factoring)
Seed #104729Name:
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Evaluate each limit analytically.
1)
Evaluate the limit as x → 1: lim ( 2x2 − 2x − 4 ) = ______
2)
Evaluate the limit as x → 3: lim ( 3x2 − 2x − 5 ) = ______
3)
Evaluate the limit as x → −2: lim [ 3x<sup>2</sup> + 8x + 4/x + 2 ] = ______
4)
Evaluate the limit as x → 2: lim ( 3x2 + 2x + 3 ) = ______
5)
Evaluate the limit as x → −6: lim [ 2x<sup>2</sup> + 16x + 24/x + 6 ] = ______
6)
Evaluate the limit as x → −4: lim ( 3x2 + 2x − 3 ) = ______
7)
Evaluate the limit as x → 2: lim [ 2x<sup>2</sup> − 7x + 6/x − 2 ] = ______
8)
Evaluate the limit as x → −2: lim ( x2 − 5x − 6 ) = ______
9)
Evaluate the limit as x → 5: lim [ 3x<sup>2</sup> − 16x + 5/x − 5 ] = ______
10)
Evaluate the limit as x → −1: lim ( 3x2 − 5x − 3 ) = ______
11)
Evaluate the limit as x → −6: lim ( 3x2 + 4x + 1 ) = ______
12)
Evaluate the limit as x → −6: lim [ x<sup>2</sup> + x − 30/x + 6 ] = ______
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