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# Find the limit of $\frac{5-\sqrt{3x+28}}{x+1}$ as $x$ approaches $-1$

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$-\frac{3}{10}$$\,\,\left(\approx -0.3\right) Got another answer? Verify it here ## Step-by-step Solution Problem to solve: \lim_{x\to-1}\left(\frac{5-\sqrt{3x+28}}{x+1}\right) Choose the solving method 1 Applying rationalisation \lim_{x\to-1}\left(\frac{5-\sqrt{3x+28}}{x+1}\frac{5+\sqrt{3x+28}}{5+\sqrt{3x+28}}\right) Learn how to solve limits by factoring problems step by step online. \lim_{x\to-1}\left(\frac{5-\sqrt{3x+28}}{x+1}\frac{5+\sqrt{3x+28}}{5+\sqrt{3x+28}}\right) Learn how to solve limits by factoring problems step by step online. Find the limit of (5-(3x+28)^0.5)/(x+1) as x approaches -1. Applying rationalisation. Multiplying fractions \frac{5-\sqrt{3x+28}}{x+1} \times \frac{5+\sqrt{3x+28}}{5+\sqrt{3x+28}}. Solve the product of difference of squares \left(5-\sqrt{3x+28}\right)\left(5+\sqrt{3x+28}\right). Expand and simplify 25-\left(3x+28\right). ## Final Answer -\frac{3}{10}$$\,\,\left(\approx -0.3\right)$
SnapXam A2

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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Tips on how to improve your answer:

$\lim_{x\to-1}\left(\frac{5-\sqrt{3x+28}}{x+1}\right)$

### Main topic:

Limits by factoring

~ 0.13 s