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$Let f(x)=-(1)/((x-1)^(2)). Select the correct description of the one-sided limits of f at x=1. Choose 1 answer: (A) {:[lim_(x rarr1^(+))f(x)=+oo" and "],[lim_(x rarr1^(-))f(x)=+oo]:} (B) {:[lim_(x rarr1^(+))f(x)=+oo" and "],[lim_(x rarr1^(-))f(x)=-oo]:} (C) {:[lim_(x rarr1^(+))f(x)=-oo" and "],[lim_(x rarr1^(-))f(x)=+oo]:} (D) {:[lim_(x rarr1^(+))f(x)=-oo" and "],[lim_(x rarr1^(-))f(x)=-oo]:}$

Let $f(x)=-\frac{1}{(x-1)^{2}}$ . $\newline$ Select the correct description of the one-sided limits of $f$ at $x=1$ . $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ $\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=+\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=+\infty \end{array}$ $\newline$ (B) $\newline$ $\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=+\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=-\infty \end{array}$ $\newline$ (C) $\newline$ $\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=-\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=+\infty \end{array}$ $\newline$ (D) $\newline$ $\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=-\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=-\infty \end{array}$

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Math Problems

Calculus

Find derivatives of sine and cosine functions

Full solution

Q. Let

f(x)=-\frac{1}{(x-1)^{2}}

\newline

Select the correct description of the one-sided limits of

f

x=1

\newline

Choose

1

answer:

\newline

(A)

\newline

\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=+\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=+\infty \end{array}

\newline

(B)

\newline

\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=+\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=-\infty \end{array}

\newline

(C)

\newline

\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=-\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=+\infty \end{array}

\newline

(D)

\newline

\begin{array}{l} \lim _{x \rightarrow 1^{+}} f(x)=-\infty \text { and } \\ \lim _{x \rightarrow 1^{-}} f(x)=-\infty \end{array}

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