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Calculus 1: Limits

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All Calculus 1LimitsDefinition of the DerivativeProduct and Quotient RulePower Rule and Basic DerivativesDerivatives of Trig FunctionsExponential and Logarithmic FunctionsChain RuleInverse and Hyperbolic Trig DerivativesImplicit DifferentiationRelated Rates ProblemsLogarithmic DifferentiationGraphing and Critical PointsOptimization ProblemsIndeterminate Forms and l'Hospital's RuleLinear Approximation and DifferentialsNewton Raphson MethodIndefinite IntegralsU SubstitutionDefinite Integrals and Fundamental TheoremApplications of Integration
One Sided Limits

Let g(x)=∣x2+x−6∣x−2g(x) = \frac{|x^2 + x - 6|}{x - 2}

Find the limit as x→2+x→2−x→2x\rightarrow 2^{+} x\rightarrow 2^{-} x\rightarrow 2

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Limit as x Approaches Infinity

lim⁡x→∞(5x−arctan⁡x)\lim_{x\rightarrow \infty}(\frac{5}{x} - \arctan{x})

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As X Approaches Infinity

lim⁡x→−∞xx2+1\lim_{x\rightarrow -\infty} \frac{x}{\sqrt{x^2 + 1}}

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Finding Limits of Trig Functions

lim⁡x→0sin⁡(3x)x\lim_{x\rightarrow 0} \frac{\sin{(3x)}}{x}

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