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Bomb Quiz

Danniz Esguerra

Created on March 14, 2026

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Transcript

bombquiz

start

The function f(x) = 2x²-5 is given. To estimate the limit of f(x) as x approaches 3, construct a table of values for x that gets increasingly close to 3 from both the left and the right. Based on the table, determine the approximate value that f(x) approaches.

00:15

11

13

12

Consider the function g(x) = e²x-1, where e is the base of the natural logarithm. Using your knowledge of exponential functions, determine the value of the limit as g(x) approaches 0. Explain what happens to g(x) when x gets very close to 0 from both sides.

00:15

The limit does not exist

The function h(x) = x²-4/x-2 gives an indeterminate form 0/0 when x=2. Use algebraic techniques such as factoring or simplifying the expression to determine the value of the limit as x approaches 2.

00:15

The limit does not exist

What is the limit of trigonometric function: lim sin4(x)/x as x→0

00:15

Limit of a piecewise function given; f(x) = x2 + 1, if x<2 7 - x, if x≥2 Find the limit x→2

00:15

Does Not Exist (DNE)

bombneutralized

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