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Implicit derivation
Linear system equations by elimination
Linear system equations by substitution
Factoring polynomials
Linear system equations by Cramer's rule
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Linear system equations by Gaussian elimination
Solved mathematical problems
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Problem to solve
Compute \[ \lim_{ x \to 0 } \frac{\sqrt{x+3}-\sqrt{3}}{x} \]
Solution
STEP 1
STEP 2
STEP 3
More problems
Number
001
Compute \( \lim_{ u \to 5 } \frac{u^2-25}{u-5} \)
002
Compute \( \lim_{ x \to 1 } \frac{x^3-1}{x-1} \)
003
Compute \( \lim_{ v \to 0 } \frac{5v^2-4}{v+1} \)
004
Compute \( \lim_{ x \to 4 } \frac{x^2-x-12}{x-4} \)
005
Compute \( \lim_{ x \to 1 } \frac{x^4+3x^3-13x^2-27x+36}{x^2+3x-4} \)
006
Compute \( \lim_{ x \to 0 } \frac{\sqrt{x+3}-\sqrt{3}}{x} \)
007
Compute \( \lim_{ x \to 2 } (\frac{1}{x-2}-\frac{4}{x^2-4}) \)
008
Compute \( \lim_{ x \to 3 } \frac{1}{(x-3)^2} \)
009
Compute \( \lim_{ x \to 3^- } \frac{x+2}{x-3} \)
010
Compute \( \lim_{ x \to 3^+ } \frac{x+2}{x-3} \)
011
Compute \( \lim_{ x \to \infty } (2x^{11}-5x^6+3x^2+1) \)
012
Compute \( \lim_{ x \to -\infty } (2x^3-12x^2+x-7) \)
013
Compute \( \lim_{ x \to -\infty } (3x^4-x^2+x-7) \)
014
Compute \( \lim_{ x \to \infty } \frac{2x+5}{x^2-7x+3} \)
015
Compute \( \lim_{ x \to \infty } \frac{3x^3-4x+2}{7x^3+5} \)
016
Compute \( \lim_{ x \to \infty } \frac{4x^5-1}{3x^3+7} \)
017
Compute \( \lim_{ x \to \infty } \frac{4x-1}{\sqrt{x^2+2}} \)
018
Compute \( \lim_{ x \to -\infty } \frac{4x-1}{\sqrt{x^2+2}} \)
019
Compute \( \lim_{ x \to \infty } \frac{7x-4}{\sqrt{x^3+5}} \)
020
Compute \( \lim_{ x \to -\infty } \frac{3x^3+2}{\sqrt{x^4-2}} \)
021
Compute \( \lim_{ x \to \infty } \frac{\sqrt{x^2+5}}{3x^2-2} \)
022
Compute \( \lim_{ x \to 4^- } \frac{3}{x-4} \)
023
Compute \( \lim_{ x \to 4^+ } \frac{3}{x-4} \)
024
Compute \( \lim_{ x \to \infty } (\sqrt{x^2-x}-x) \)
025
Compute \( \lim_{ x \to 2 } \frac{\sqrt{x^2+5}-3}{x^2-2x} \)
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