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Exercise

$\lim_{x\to00}\left(x^2-4x+5\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to0}\left(x^2-4x+5\right)$ by replacing all occurrences of $x$ by $0$

$0^2-4\cdot 0+5$
2

Multiply $-4$ times $0$

$0^2+0+5$
3

Add the values $0$ and $5$

$0^2+5$
4

Calculate the power $0^2$

$0+5$
5

Add the values $0$ and $5$

$5$

Final answer to the exercise

$5$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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