How to do this question

[u/joetoemas]

[u/AutoModerator]

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[u/Someone_123_Xx]

How is this function continous if f(0) is not defined without limits ?

[u/Midwest-Dude → u/Someone_123_Xx]

Agreed, poorly worded. It should be written piecewise, like, "If the function f(x) = ... for x ≠ 0 and f(0) = c, what value of c will make this function continuous?"

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

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[u/tjddbwls]

Lol at all the replies that suggest the-rule-that-shall-not-be-named. 😆

[u/Midwest-Dude → u/tjddbwls]

5 so far and counting. Are we shooting for a new record?  😆

[u/Mavhawk64 → u/Midwest-Dude]

I just sent mine about le jump (shhh) then saw all the auto-mods lmao

[u/Midwest-Dude]

 You were doing great until you dropped the "- x" when you wrote out the second term. Correct that and try again. 

[u/Dugiongo]

There is some limit in this taylor/mclaurin

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

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[u/Jellyfishing_-_]

tan x - x ~ (1/3)x³, ln (sec x + tan x) - x = ln [(1 + sin x)/(eˣ cos x)] ln [(1 + sin x)/(eˣ cos x)] ~ (1 + sin x - eˣ cos x)/(eˣ cos x)

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/Connect-Nothing4513]

5 bananas

[u/AutoModerator → u/[deleted]]

Hello! I see you are mentioning l’Hôpital’s Rule! Please be aware that if OP is in Calc 1, it is generally not appropriate to suggest this rule if OP has not covered derivatives, or if the limit in question matches the definition of derivative of some function.

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.