Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- 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
- Integrate by substitution
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Evaluate the limit $\lim_{x\to4}\left(\frac{3x^2-8x-16}{2x^2-9x+4}\right)$ by replacing all occurrences of $x$ by $4$
Multiply $-9$ times $4$
Subtract the values $4$ and $-36$
Multiply $-8$ times $4$
Subtract the values $-32$ and $-16$
Calculate the power $4^2$
Multiply $2$ times $16$
Subtract the values $32$ and $-32$
Calculate the power $4^2$
Multiply $3$ times $16$
Subtract the values $48$ and $-48$
$\frac{0}{0}$ represents an indeterminate form