[tex]\boxed{ \color{green} \boxed{Olá\:tudo\:bem?}} \\ \\ ~\huge\mid{\boxed{\bf{\blue{Matem\acute{a}tica}}}\mid}[/tex]

A)

[tex]\bold{\underset{x\rightarrow1.5}{\lim}~}(2x + 1)[/tex]

• Use a propriedade

[tex]\bold{\underset{x\rightarrow{c}}{\lim}~}((f(x)±g(x))) = \bold{\underset{x\rightarrow{c}}{\lim}~}(f(x))±\bold{\underset{x\rightarrow{c}}{\lim}~}(g(x))[\tex]

[tex]\bold{\underset{x\rightarrow1.5}{\lim}~}(2x) + \bold{\underset{x\rightarrow1.5}{\lim}~}(1)[/tex]

• Use a propriedade

[tex]\bold{\underset{x\rightarrow{c}}{\lim}~}(a \times f(x)) = a \times \bold{\underset{x\rightarrow{c}}{\lim}~}(f(x))[\tex]

[tex]2 \times \bold{\underset{x\rightarrow1.5}{\lim}~}(x) + \bold{\underset{x\rightarrow1.5}{\lim}~}(1)[/tex]

• O limite de uma constante é igual a constante

[tex]2 \times \bold{\underset{x\rightarrow1.5}{\lim}~}(x) + 1[/tex]

[tex]2 \times 1.5 + 1[/tex]

[tex]3 + 1[/tex]

[tex]\boxed{ \color{green} \boxed{{ 4 }}}[/tex]

B)

[tex]\bold{\underset{x\rightarrow1}{\lim}~}(x + 2)[/tex]

[tex]\bold{\underset{x\rightarrow1}{\lim}~}(x) + \bold{\underset{x\rightarrow1}{\lim}~}(2)[/tex]

[tex]1 + 2[/tex]

[tex]\boxed{ \color{green} \boxed{{ 3 }}}[/tex]

C)

[tex]\bold{\underset{x\rightarrow7}{\lim}~}(x - 7)[/tex]

[tex]\bold{\underset{x\rightarrow7}{\lim}~}(x) - \bold{\underset{x\rightarrow7}{\lim}~}(7)[/tex]

[tex]7 - 7[/tex]

[tex]\boxed{ \color{green} \boxed{{ 0 }}}[/tex]

D)

[tex]\bold{\underset{x\rightarrow2}{\lim}~}(3x - 2)[/tex]

[tex]\bold{\underset{x\rightarrow2}{\lim}~}(3x) - \bold{\underset{x\rightarrow2}{\lim}~}(2)[/tex]

[tex]3 \times \bold{\underset{x\rightarrow2}{\lim}~}(x) - \bold{\underset{x\rightarrow2}{\lim}~}(2)[/tex]

[tex]3 \times \bold{\underset{x\rightarrow2}{\lim}~}(x) - 2[/tex]

[tex]3 \times 2 - 2[/tex]

[tex]6 - 2[/tex]

[tex]\boxed{ \color{green} \boxed{{ 4 }}}[/tex]

E)

[tex]\bold{\underset{x\rightarrow - 5}{\lim}~}( {x}^{2} - 30)[/tex]

[tex]\bold{\underset{x\rightarrow - 5}{\lim}~}( {x}^{2} ) - \bold{\underset{x\rightarrow - 5}{\lim}~}(30)[/tex]

[tex](\bold{\underset{x\rightarrow - 5}{\lim}~}(x) {)}^{2} - \bold{\underset{x\rightarrow - 5}{\lim}~}(30)[/tex]

[tex](\bold{\underset{x\rightarrow - 5}{\lim}~}(x) {)}^{2} - 30[/tex]

[tex]( - 5 {)}^{2} - 30[/tex]

[tex]25 - 30[/tex]

[tex]\boxed{ \color{green} \boxed{{  - 5 }}}[/tex]

[tex]\red{\: Se \: você \: quiser \: me \: ajudar} \\ \red{Coloca  \: como \: melhor \: resposta} \\   \red{Obrigado  \: pela  \: atenção.} \\ \\ {\huge\boxed { {\bf{E}}}\boxed { \red {\bf{a}}} \boxed { \blue {\bf{s}}} \boxed { \gray{\bf{y}}} \boxed { \red {\bf{}}} \boxed { \orange {\bf{M}}} \boxed {\bf{a}}}{\huge\boxed { {\bf{t}}}\boxed { \red {\bf{h}}}} \\ \\ {\boxed{ \color{blue} \boxed{ 09 |03|22  }}}{\boxed{ \color{blue} \boxed{Espero \:  ter  \: ajudado \: ☆}}}[/tex]